Relation between the Kadomtsev-Petviashvili equation and the confocal involutive system. Zbl 0947.35138
Cao, Cewen; Wu, Yongtang; Geng, Xianguo |
|
1999
|
An extension of integrable peakon equations with cubic nonlinearity. Zbl 1171.37331
Geng, Xianguo; Xue, Bo |
|
2009
|
Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy. Zbl 1304.37046
Geng, Xianguo; Zhai, Yunyun; Dai, H. H. |
|
2014
|
Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation. Zbl 1467.35282
Geng, Xianguo; Wu, Jianping |
|
2016
|
A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations. Zbl 0935.37029
Wu, Yongtang; Geng, Xianguo; Hu, Xingbiao; Zhu, Siming |
|
1999
|
The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation. Zbl 1390.35325
Geng, Xianguo; Liu, Huan |
|
2018
|
Decomposition of the \((2+1)\)-dimensional Gardner equation and its quasi-periodic solutions. Zbl 1160.37405
Geng, Xianguo; Cao, Cewen |
|
2001
|
C. Neumann and Bargmann systems associated with the coupled KdV soliton hierarchy. Zbl 0719.35082
Cao, Cewen; Geng, Xianguo |
|
1990
|
Algebraic-geometrical solutions of some multidimensional nonlinear evolution equations. Zbl 1039.37061
Geng, Xianguo |
|
2003
|
Rogue periodic waves of the sine-Gordon equation. Zbl 1440.35030
Li, Ruomeng; Geng, Xianguo |
|
2020
|
\(N\)-soliton solution and its Wronskian form of a \((3+1)\)-dimensional nonlinear evolution equation. Zbl 1209.35116
Geng, Xianguo; Ma, Yunling |
|
2007
|
Darboux transformation and soliton solutions for generalized nonlinear Schrödinger equations. Zbl 0944.35093
Geng, Xianguo; Tam, Hon-Wah |
|
1999
|
A vector general nonlinear Schrödinger equation with \((m+n)\) components. Zbl 1437.35627
Geng, Xianguo; Li, Ruomeng; Xue, Bo |
|
2020
|
On a vector long wave-short wave-type model. Zbl 1454.35314
Li, Ruomeng; Geng, Xianguo |
|
2020
|
Classical integrable systems generated through nonlinearization of eigenvalue problems. Zbl 0728.70012
Cao, Cewen; Geng, Xianguo |
|
1990
|
Decomposition of the discrete Ablowitz-Ladik hierarchy. Zbl 1533.37153
Geng, Xianguo; Dai, H. H.; Zhu, Junyi |
|
2007
|
The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices. Zbl 1403.37078
Wei, Jiao; Geng, Xianguo; Zeng, Xin |
|
2019
|
From the special \(2+1\) Toda lattice to the Kadomtsev-Petviashvili equation. Zbl 0977.37036
Cao, Cewen; Geng, Xianguo; Wu, Yongtang |
|
1999
|
A new integrable symplectic map associated with lattice soliton equations. Zbl 0864.58028
Wu, Yongtang; Geng, Xianguo |
|
1996
|
Long-time asymptotics for the spin-1 Gross-Pitaevskii equation. Zbl 1466.35326
Geng, Xianguo; Wang, Kedong; Chen, Mingming |
|
2021
|
Algebro-geometric solution of the \(2+1\) dimensional Burgers equation with a discrete variable. Zbl 1052.37050
Cao, Cewen; Geng, Xianguo; Wang, Hongye |
|
2002
|
A three-component generalization of Camassa-Holm equation with \(N\)-peakon solutions. Zbl 1207.35254
Geng, Xianguo; Xue, Bo |
|
2011
|
A new hierarchy of integrable differential-difference equations and Darboux transformation. Zbl 0931.35190
Wu, Yongtang; Geng, Xianguo |
|
1998
|
Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions. Zbl 1223.37093
Geng, Xianguo; Wu, Lihua; He, Guoliang |
|
2011
|
Quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation. Zbl 0941.35090
Geng, Xianguo; Wu, Yongtang; Cao, Cewen |
|
1999
|
The Deift-Zhou steepest descent method to long-time asymptotics for the Sasa-Satsuma equation. Zbl 1414.35137
Liu, Huan; Geng, Xianguo; Xue, Bo |
|
2018
|
Initial-boundary value problems for the coupled nonlinear Schrödinger equation on the half-line. Zbl 1338.35408
Geng, Xianguo; Liu, Huan; Zhu, Junyi |
|
2015
|
Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation. Zbl 1510.35281
Wu, Jianping; Geng, Xianguo |
|
2017
|
Finite-band solutions of the classical Boussinesq-Burgers equations. Zbl 0944.35085
Geng, Xianguo; Wu, Yongtang |
|
1999
|
A nonconfocal generator of involutive systems and three associated soliton hierarchies. Zbl 0737.35083
Cao, Cewen; Geng, Xianguo |
|
1991
|
Quasi-periodic solutions of the Kaup-Kupershmidt hierarchy. Zbl 1309.37070
Geng, Xianguo; Wu, Lihua; He, Guoliang |
|
2013
|
Periodic and rational solutions of the reduced Maxwell-Bloch equations. Zbl 1510.78011
Wei, Jiao; Wang, Xin; Geng, Xianguo |
|
2018
|
Quasi-periodic solutions for some \((2+1)\)-dimensional integrable models generated by the Jaulent-Miodek hierarchy. Zbl 0978.37054
Geng, Xianguo; Cao, Cewen; Dai, H. H. |
|
2001
|
Algebro-geometric constructions of the discrete Ablowitz-Ladik flows and applications. Zbl 1062.37092
Geng, Xianguo; Dai, H. H.; Cao, Cewen |
|
2003
|
Finite-dimensional discrete systems and integrable systems through nonlinearization of the discrete eigenvalue problem. Zbl 0784.58048
Geng, Xianguo |
|
1993
|
Darboux transformation for an integrable generalization of the nonlinear Schrödinger equation. Zbl 1263.35196
Geng, Xianguo; Lv, Yanyan |
|
2012
|
The AB equations and the \(\bar\partial\)-dressing method in semi-characteristic coordinates. Zbl 1302.37044
Zhu, Junyi; Geng, Xianguo |
|
2014
|
Bäcklund transformations of soliton systems from symmetry constraints. Zbl 1010.37048
Ma, Wen-Xiu; Geng, Xianguo |
|
2001
|
Darboux transformation of the discrete Ablowitz-Ladik eigenvalue problem. Zbl 0693.65091
Geng, Xianguo |
|
1989
|
A hierarchy of coupled evolution equations with self-consistent sources and the dressing method. Zbl 1275.37034
Zhu, Junyi; Geng, Xianguo |
|
2013
|
Nonlinearization of the Lax pairs for discrete Ablowitz-Ladik hierarchy. Zbl 1111.39011
Geng, Xianguo; Dai, H. H. |
|
2007
|
Initial-boundary problems for the vector modified Korteweg-de Vries equation via Fokas unified transform method. Zbl 1342.35306
Liu, Huan; Geng, Xianguo |
|
2016
|
Quasi-periodic solutions of mixed AKNS equations. Zbl 1200.35016
Geng, Xianguo; Xue, Bo |
|
2010
|
Long-time asymptotics of the coupled modified Korteweg-de Vries equation. Zbl 1420.35313
Geng, Xianguo; Chen, Mingming; Wang, Kedong |
|
2019
|
A super Camassa-Holm equation with \(N\)-peakon solutions. Zbl 1282.35284
Geng, Xianguo; Xue, Bo; Wu, Lihua |
|
2013
|
Rational solutions for a (3+1)-dimensional nonlinear evolution equation. Zbl 1450.35242
Wang, Xin; Wei, Jiao; Geng, Xianguo |
|
2020
|
A new super-extension of the KdV hierarchy. Zbl 1190.35197
Geng, Xianguo; Wu, Lihua |
|
2010
|
Algebro-geometric quasi-periodic solutions to the three-wave resonant interaction hierarchy. Zbl 1319.35211
He, Guoliang; Geng, Xianguo; Wu, Lihua |
|
2014
|
Quasi-periodic solutions of the \(2+1\) dimensional modified Korteweg-de Vries equation. Zbl 0937.35155
Geng, Xianguo; Cao, Cewen |
|
1999
|
A finite-dimensional integrable system associated with the three-wave interaction equations. Zbl 0955.37034
Wu, Yongtang; Geng, Xianguo |
|
1999
|
Trace formula and new form of \(N\)-soliton to the Gerdjikov-Ivanov equation. Zbl 1402.35068
Nie, Hui; Zhu, Junyi; Geng, Xianguo |
|
2018
|
Inverse scattering transform of the coupled Sasa-Satsuma equation by Riemann-Hilbert approach. Zbl 1365.35167
Wu, Jian-Ping; Geng, Xian-Guo |
|
2017
|
Explicit solutions of the \(2+1\)-dimensional breaking soliton equation. Zbl 1062.35103
Geng, Xianguo; Cao, Cewen |
|
2004
|
A vector Geng-Li model: new nonlinear phenomena and breathers on periodic background waves. Zbl 1490.35093
Geng, Xianguo; Li, Ruomeng; Xue, Bo |
|
2022
|
Soliton solutions and quasiperiodic solutions of modified Korteweg-de Vries type equations. Zbl 1311.35255
Geng, Xianguo; Xue, Bo |
|
2010
|
Grammian determinant solution and Pfaffianization for a \((3+1)\)-dimensional soliton equation. Zbl 1183.35237
Wu, Jian-Ping; Geng, Xian-Guo |
|
2009
|
Explicit quasi-periodic solutions of the Kaup-Newell hierarchy. Zbl 1317.37088
Geng, Xianguo; Li, Zhu; Xue, Bo; Guan, Liang |
|
2015
|
Algebro-geometric solutions to the Manakov hierarchy. Zbl 1338.35384
Wu, Lihua; Geng, Xianguo; He, Guoliang |
|
2016
|
Decomposition of a \(2 + 1\)-dimensional Volterra type lattice and its quasi-periodic solutions. Zbl 1069.37061
Dai, H. H.; Geng, Xianguo |
|
2003
|
The application of the theory of trigonal curves to the discrete coupled nonlinear Schrödinger hierarchy. Zbl 1421.35335
Geng, Xianguo; Zeng, Xin; Wei, Jiao |
|
2019
|
A matrix Yajima-Oikawa long-wave-short-wave resonance equation, Darboux transformations and rogue wave solutions. Zbl 1475.35108
Li, Ruomeng; Geng, Xianguo |
|
2020
|
A super extension of Kaup-Newell hierarchy. Zbl 1222.37052
Geng, Xian-Guo; Wu, Li-Hua |
|
2010
|
Algebro-geometric solutions of \((2+1)\)-dimensional coupled modified Kadomtsev-Petviashvili equations. Zbl 0991.37045
Geng, Xianguo; Dai, H. H. |
|
2000
|
Quasi-periodic solutions to the hierarchy of four-component Toda lattices. Zbl 1339.37061
Wei, Jiao; Geng, Xianguo; Zeng, Xin |
|
2016
|
A new nonlinear wave equation: Darboux transformation and soliton solutions. Zbl 1465.35349
Geng, Xianguo; Shen, Jing; Xue, Bo |
|
2018
|
A new integrable symplectic map of Neumann type. Zbl 0955.37030
Wu, Yongtang; Geng, Xianguo |
|
1999
|
Darboux transformation of the Drinfeld-Sokolov-Satsuma-Hirota system and exact solutions. Zbl 1360.37168
Geng, Xianguo; Li, Ruomeng |
|
2015
|
Riemann theta function solutions of the Caudrey-Dodd-Gibbon-Sawada-Kotera hierarchy. Zbl 1415.37089
Geng, Xianguo; He, Guoliang; Wu, Lihua |
|
2019
|
Dynamical behaviour of rogue wave solutions in a multi-component AB system. Zbl 1524.35505
Geng, Xianguo; Shen, Jing; Xue, Bo |
|
2019
|
Straightening out of the flows for the Hu hierarchy and its algebro-geometric solutions. Zbl 1256.35043
Zhai, Yunyun; Geng, Xianguo |
|
2013
|
A multipotential generalization of the nonlinear diffusion equation. Zbl 1058.37523
Geng, Xianguo; Ma, Wen-Xiu |
|
2000
|
Novel Wronskian condition and new exact solutions to a \((3+1)\)-dimensional generalized KP equation. Zbl 1284.35384
Wu, Jian-Ping; Geng, Xian-Guo |
|
2013
|
Explicit solutions of the \(2+1\)-dimensional modified Toda lattice through straightening out of the relativistic Toda flows. Zbl 1071.37052
Dai, H. H.; Geng, Xianguo |
|
2003
|
Quasi-periodic solutions of nonlinear evolution equations associated with a \(3 \times 3\) matrix spectral problem. Zbl 1243.37058
Geng, Xianguo; Wu, Lihua; He, Guoliang |
|
2011
|
The Hamiltonian structure and new finite-dimensional integrable system associated with Harry-Dym type equations. Zbl 0961.35506
Geng, Xian Guo |
|
1994
|
Spectral analysis and long-time asymptotics for the potential Wadati-Konno-Ichikawa equation. Zbl 1470.37093
Chen, Mingming; Geng, Xianguo; Wang, Kedong |
|
2021
|
Darboux and Bäcklund transformations of the bidirectional Sawada-Kotera equation. Zbl 1247.37079
Ma, Yunling; Geng, Xianguo |
|
2012
|
New completely integrable Neumann systems related to the perturbation KdV hierarchy. Zbl 0964.37043
Ma, Wen-Xiu; Geng, Xianguo |
|
2000
|
Quasi-periodic solutions for some \(2+1\)-dimensional discrete models. Zbl 1008.70011
Geng, Xianguo; Dai, H. H. |
|
2003
|
Algebro-geometric quasi-periodic solutions to the Bogoyavlensky lattice 2(3) equations. Zbl 1529.37042
Jia, Minxin; Geng, Xianguo; Wei, Jiao |
|
2022
|
Darboux transformations for a matrix long-wave-short-wave equation and higher-order rational rogue-wave solutions. Zbl 1446.35163
Li, Ruomeng; Geng, Xianguo; Xue, Bo |
|
2020
|
A Hermitian symmetric space Fokas-Lenells equation: solitons, breathers, rogue waves. Zbl 1414.35194
Geng, Xianguo; Shen, Jing; Xue, Bo |
|
2019
|
Hirota bilinear approach to a new integrable differential-difference system. Zbl 0944.35101
Hu, Xing-Biao; Wu, Yong-Tang; Geng, Xian-Guo |
|
1999
|
Riemann-Hilbert method for the three-component Sasa-Satsuma equation and its \(N\)-soliton solutions. Zbl 1527.35396
Xu, Siqi; Li, Ruomeng; Geng, Xianguo |
|
2020
|
Two hierarchies of new nonlinear evolution equations associated with \(3 \times 3\) matrix spectral problems. Zbl 1142.37358
Geng, Xianguo; Du, Dianlou |
|
2006
|
Darboux transformation and explicit solutions for the Satsuma-Hirota coupled equation. Zbl 1195.35260
Geng, Xianguo; He, Guoliang |
|
2010
|
Quasi-periodic solutions of the Belov-Chaltikian lattice hierarchy. Zbl 1408.37123
Geng, Xianguo; Zeng, Xin |
|
2017
|
Coupled derivative nonlinear Schrödinger III equation: Darboux transformation and higher-order rogue waves in a two-mode nonlinear fiber. Zbl 1510.35318
Zhai, Yunyun; Ji, Ting; Geng, Xianguo |
|
2021
|
Riemann-Hilbert approach and \(N\)-soliton solutions for a new two-component Sasa-Satsuma equation. Zbl 1516.37088
Wang, Jia; Su, Ting; Geng, Xianguo; Li, Ruomeng |
|
2020
|
The coupled Sasa-Satsuma hierarchy: trigonal curve and finite genus solutions. Zbl 1376.37113
Zhai, Yunyun; Geng, Xianguo |
|
2017
|
The full positive flows of Manakov hierarchy, Hamiltonian structures and conservation laws. Zbl 1329.35294
Wu, Lihua; He, Guoliang; Geng, Xianguo |
|
2013
|
Algebro-geometric constructions of the Wadati-Konno-Ichikawa flows and applications. Zbl 1337.37055
Li, Zhu; Geng, Xianguo; Guan, Liang |
|
2016
|
A coupled nonlinear Schrödinger type equation and its explicit solutions. Zbl 1198.37093
Ma, Yunling; Geng, Xianguo |
|
2009
|
Lax matrix and a generalized coupled KdV hierarchy. Zbl 1098.35562
Li, Xuemei; Geng, Xianguo |
|
2003
|
Decomposition and straightening out of the coupled mixed nonlinear Schrödinger flows. Zbl 1045.37038
Geng, Xianguo; Dai, H. H. |
|
2004
|
New finite-dimensional completely integrable systems associated with the sine-Gordon equation. Zbl 0942.37047
Dai, Hui-Hui; Geng, Xianguo |
|
1999
|
Decomposition to the modified Jaulent-Miodek hierarchy. Zbl 1142.37356
Chen, Jinbing; Geng, Xianguo |
|
2006
|
Decomposition of certain nonlinear evolution equations and their quasi-periodic solutions. Zbl 1162.37324
Dai, H.-H.; Geng, Xianguo |
|
2002
|
Nonlinearization of the \(3\times 3\) matrix eigenvalue problem related to coupled nonlinear Schrödinger equations. Zbl 0924.35149
Geng, X. G.; Dai, H. H. |
|
1999
|
Long-time asymptotics for the modified complex short pulse equation. Zbl 1494.35032
Chen, Mingming; Geng, Xianguo; Wang, Kedong |
|
2022
|
Multiple higher-order pole solutions in spinor Bose-Einstein condensates. Zbl 07839646
Liu, Huan; Shen, Jing; Geng, Xianguo |
|
2024
|
Algebro-geometric quasi-periodic solutions to the Satsuma-Hirota hierarchy. Zbl 1519.37081
Geng, Xianguo; Zeng, Xin |
|
2023
|
Spectral analysis and long-time asymptotics for the Harry Dym-type equation with the Schwartz initial data. Zbl 1512.35423
Liu, Wenhao; Geng, Xianguo; Wang, Kedong; Chen, Mingming |
|
2023
|
Rogue-wave and breather solutions of the Fokas-Lenells equation on theta-function backgrounds. Zbl 1530.35285
Li, Ruomeng; Geng, Jingru; Geng, Xianguo |
|
2023
|
Inverse scattering transformation for the \(N\)-component focusing nonlinear Schrödinger equation with nonzero boundary conditions. Zbl 1514.37092
Liu, Huan; Shen, Jing; Geng, Xianguo |
|
2023
|
Rogue waves and breathers of the derivative Yajima-Oikawa long wave-short wave equations on theta-function backgrounds. Zbl 1530.35255
Li, Ruomeng; Geng, Xianguo |
|
2023
|
New integrable peakon equation and its dynamic system. Zbl 1522.35452
Xue, Bo; Du, Huiling; Geng, Xianguo |
|
2023
|
Periodic-background solutions of Kadomtsev-Petviashvili I equation. Zbl 1509.35267
Li, Ruomeng; Geng, Xianguo |
|
2023
|
A vector Geng-Li model: new nonlinear phenomena and breathers on periodic background waves. Zbl 1490.35093
Geng, Xianguo; Li, Ruomeng; Xue, Bo |
|
2022
|
Algebro-geometric quasi-periodic solutions to the Bogoyavlensky lattice 2(3) equations. Zbl 1529.37042
Jia, Minxin; Geng, Xianguo; Wei, Jiao |
|
2022
|
Long-time asymptotics for the modified complex short pulse equation. Zbl 1494.35032
Chen, Mingming; Geng, Xianguo; Wang, Kedong |
|
2022
|
Riemann-Hilbert approach and long-time asymptotics of the positive flow short-pulse equation. Zbl 1501.35277
Wang, Kedong; Geng, Xianguo; Chen, Mingming |
|
2022
|
Riemann-Hilbert approach and long-time asymptotics for the three-component derivative nonlinear Schrödinger equation. Zbl 1489.35176
Wang, Kedong; Geng, Xianguo; Chen, Mingming; Xue, Bo |
|
2022
|
Multi-bright-dark soliton solutions to the \(AB\) system in nonlinear optics. Zbl 1514.35387
Zhai, Yunyun; Wei, Lifei; Geng, Xianguo; Wei, Jiao |
|
2022
|
The Hermitian symmetric space Fokas-Lenells equation: spectral analysis and long-time asymptotics. Zbl 1506.35015
Geng, Xianguo; Wang, Kedong; Chen, Mingming |
|
2022
|
Finite genus solutions of the generalized Merola-Ragnisco-Tu lattice hierarchy. Zbl 1509.37093
Wei, Jiao; Geng, Xianguo; Wang, Xin; Zhai, Yunyun |
|
2022
|
Three-sheeted Riemann surface and solutions of the Itoh-Narita-Bogoyavlensky lattice hierarchy. Zbl 1498.37112
Geng, Xianguo; Wei, Jiao |
|
2022
|
Spectral analysis and long-time asymptotics of a coupled nonlinear Schrödinger system. Zbl 1498.35517
Wang, Kedong; Geng, Xianguo; Chen, Mingming; Li, Ruomeng |
|
2022
|
Spectral analysis and long-time asymptotics for the coherently-coupled nonlinear Schrödinger system. Zbl 1503.35206
Chen, Ming Ming; Geng, Xian Guo; Wang, Ke Dong |
|
2022
|
Long-time asymptotics for the spin-1 Gross-Pitaevskii equation. Zbl 1466.35326
Geng, Xianguo; Wang, Kedong; Chen, Mingming |
|
2021
|
Spectral analysis and long-time asymptotics for the potential Wadati-Konno-Ichikawa equation. Zbl 1470.37093
Chen, Mingming; Geng, Xianguo; Wang, Kedong |
|
2021
|
Coupled derivative nonlinear Schrödinger III equation: Darboux transformation and higher-order rogue waves in a two-mode nonlinear fiber. Zbl 1510.35318
Zhai, Yunyun; Ji, Ting; Geng, Xianguo |
|
2021
|
Darboux transformation of a two-component generalized Sasa-Satsuma equation and explicit solutions. Zbl 1479.35718
Geng, Xianguo; Li, Yihao; Wei, Jiao; Zhai, Yunyun |
|
2021
|
Application of the nonlinear steepest descent method to the coupled Sasa-Satsuma equation. Zbl 1467.35281
Geng, Xianguo; Chen, Mingming; Wang, Kedong |
|
2021
|
An integrable generalized Korteweg-de Vries equation with pseudo-peakons. Zbl 1462.35342
Wang, Kedong; Chen, Mingming; Li, Ruomeng; Geng, Xianguo |
|
2021
|
Coupled discrete Sawada-Kotera equations and their explicit quasi-periodic solutions. Zbl 1479.35722
Jia, Minxin; Geng, Xianguo; Wei, Jiao; Zhai, Yunyun; Liu, Huan |
|
2021
|
Rogue periodic waves of the sine-Gordon equation. Zbl 1440.35030
Li, Ruomeng; Geng, Xianguo |
|
2020
|
A vector general nonlinear Schrödinger equation with \((m+n)\) components. Zbl 1437.35627
Geng, Xianguo; Li, Ruomeng; Xue, Bo |
|
2020
|
On a vector long wave-short wave-type model. Zbl 1454.35314
Li, Ruomeng; Geng, Xianguo |
|
2020
|
Rational solutions for a (3+1)-dimensional nonlinear evolution equation. Zbl 1450.35242
Wang, Xin; Wei, Jiao; Geng, Xianguo |
|
2020
|
A matrix Yajima-Oikawa long-wave-short-wave resonance equation, Darboux transformations and rogue wave solutions. Zbl 1475.35108
Li, Ruomeng; Geng, Xianguo |
|
2020
|
Darboux transformations for a matrix long-wave-short-wave equation and higher-order rational rogue-wave solutions. Zbl 1446.35163
Li, Ruomeng; Geng, Xianguo; Xue, Bo |
|
2020
|
Riemann-Hilbert method for the three-component Sasa-Satsuma equation and its \(N\)-soliton solutions. Zbl 1527.35396
Xu, Siqi; Li, Ruomeng; Geng, Xianguo |
|
2020
|
Riemann-Hilbert approach and \(N\)-soliton solutions for a new two-component Sasa-Satsuma equation. Zbl 1516.37088
Wang, Jia; Su, Ting; Geng, Xianguo; Li, Ruomeng |
|
2020
|
A generalized complex mKdV equation: Darboux transformations and explicit solutions. Zbl 1524.35542
Li, Yihao; Li, Ruomeng; Xue, Bo; Geng, Xianguo |
|
2020
|
Mean escape time for randomly switching narrow gates in a steady flow. Zbl 1446.76153
Wang, Hui; Duan, Jinqiao; Geng, Xianguo; Chao, Ying |
|
2020
|
Riemann theta function solutions to the coupled long wave-short wave resonance equations. Zbl 1482.35199
Zhai, Yunyun; Geng, Xianguo; Xue, Bo |
|
2020
|
Long-time asymptotics for the generalized Sasa-Satsuma equation. Zbl 1484.35340
Wang, Kedong; Geng, Xianguo; Chen, Mingming; Li, Ruomeng |
|
2020
|
A generalization of the Landau-Lifschitz equation: breathers and rogue waves. Zbl 1436.37086
Li, Ruomeng; Geng, Xianguo; Xue, Bo |
|
2020
|
The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices. Zbl 1403.37078
Wei, Jiao; Geng, Xianguo; Zeng, Xin |
|
2019
|
Long-time asymptotics of the coupled modified Korteweg-de Vries equation. Zbl 1420.35313
Geng, Xianguo; Chen, Mingming; Wang, Kedong |
|
2019
|
The application of the theory of trigonal curves to the discrete coupled nonlinear Schrödinger hierarchy. Zbl 1421.35335
Geng, Xianguo; Zeng, Xin; Wei, Jiao |
|
2019
|
Riemann theta function solutions of the Caudrey-Dodd-Gibbon-Sawada-Kotera hierarchy. Zbl 1415.37089
Geng, Xianguo; He, Guoliang; Wu, Lihua |
|
2019
|
Dynamical behaviour of rogue wave solutions in a multi-component AB system. Zbl 1524.35505
Geng, Xianguo; Shen, Jing; Xue, Bo |
|
2019
|
A Hermitian symmetric space Fokas-Lenells equation: solitons, breathers, rogue waves. Zbl 1414.35194
Geng, Xianguo; Shen, Jing; Xue, Bo |
|
2019
|
Algebro-geometric integration of the modified Belov-Chaltikian lattice hierarchy. Zbl 1429.37041
Geng, Xianguo; Wei, Jiao; Zeng, Xin |
|
2019
|
Modulation instability and dynamics for the Hermitian symmetric space derivative nonlinear Schrödinger equation. Zbl 1473.35515
Shen, Jing; Geng, Xianguo; Xue, Bo |
|
2019
|
Exact solutions of a negative matrix AKNS system with a Hermitian symmetric space. Zbl 1410.35181
Shen, Jing; Geng, Xianguo; Xue, Bo |
|
2019
|
A hierarchy of long wave-short wave type equations: quasi-periodic behavior of solutions and their representation. Zbl 1417.37252
Geng, Xianguo; Zhai, Yunyun; Xue, Bo; Wei, Jiao |
|
2019
|
Finite genus solutions to the coupled Burgers hierarchy. Zbl 1407.35171
Geng, Xianguo; Liu, Wei; Xue, Bo |
|
2019
|
The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation. Zbl 1390.35325
Geng, Xianguo; Liu, Huan |
|
2018
|
The Deift-Zhou steepest descent method to long-time asymptotics for the Sasa-Satsuma equation. Zbl 1414.35137
Liu, Huan; Geng, Xianguo; Xue, Bo |
|
2018
|
Periodic and rational solutions of the reduced Maxwell-Bloch equations. Zbl 1510.78011
Wei, Jiao; Wang, Xin; Geng, Xianguo |
|
2018
|
Trace formula and new form of \(N\)-soliton to the Gerdjikov-Ivanov equation. Zbl 1402.35068
Nie, Hui; Zhu, Junyi; Geng, Xianguo |
|
2018
|
A new nonlinear wave equation: Darboux transformation and soliton solutions. Zbl 1465.35349
Geng, Xianguo; Shen, Jing; Xue, Bo |
|
2018
|
The vector derivative nonlinear Schrödinger equation on the half-line. Zbl 1406.35364
Liu, Huan; Geng, Xianguo |
|
2018
|
A super Sasa-Satsuma hierarchy and bi-Hamiltonian structures. Zbl 1524.37063
Wei, Jiao; Geng, Xianguo |
|
2018
|
\(N\) solutions for a derivative nonlinear Schrödinger-type equation via Riemann-Hilbert approach. Zbl 1391.35305
Geng, Xianguo; Nie, Hui |
|
2018
|
Riemann-Hilbert approach to TD equation with nonzero boundary condition. Zbl 1402.35195
Zhu, Junyi; Wang, Linlin; Geng, Xianguo |
|
2018
|
Riemann surface and Riemann theta function solutions of the discrete integrable hierarchy. Zbl 1442.37081
Geng, Xianguo; Zeng, Xin; Wei, Jiao |
|
2018
|
A hierarchy of generalized Jaulent-Miodek equations and their explicit solutions. Zbl 1382.35249
Geng, Xianguo; Guan, Liang; Xue, Bo |
|
2018
|
Finite-band solutions for the hierarchy of coupled Toda lattices. Zbl 1385.37075
Zeng, Xin; Geng, Xianguo |
|
2018
|
Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation. Zbl 1510.35281
Wu, Jianping; Geng, Xianguo |
|
2017
|
Inverse scattering transform of the coupled Sasa-Satsuma equation by Riemann-Hilbert approach. Zbl 1365.35167
Wu, Jian-Ping; Geng, Xian-Guo |
|
2017
|
Quasi-periodic solutions of the Belov-Chaltikian lattice hierarchy. Zbl 1408.37123
Geng, Xianguo; Zeng, Xin |
|
2017
|
The coupled Sasa-Satsuma hierarchy: trigonal curve and finite genus solutions. Zbl 1376.37113
Zhai, Yunyun; Geng, Xianguo |
|
2017
|
Application of the trigonal curve to the Blaszak-Marciniak lattice hierarchy. Zbl 1382.37076
Geng, Xianguo; Zeng, Xin |
|
2017
|
Algebro-geometric constructions of quasi-periodic flows of the Newell hierarchy and applications. Zbl 1408.37122
Geng, Xianguo; Wang, Hui |
|
2017
|
\(N\)-soliton solution and soliton resonances for the \((2+1)\)-dimensional inhomogeneous Gardner equation. Zbl 1375.35465
Wang, Xin; Geng, Xian-Guo |
|
2017
|
Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation. Zbl 1467.35282
Geng, Xianguo; Wu, Jianping |
|
2016
|
Initial-boundary problems for the vector modified Korteweg-de Vries equation via Fokas unified transform method. Zbl 1342.35306
Liu, Huan; Geng, Xianguo |
|
2016
|
Algebro-geometric solutions to the Manakov hierarchy. Zbl 1338.35384
Wu, Lihua; Geng, Xianguo; He, Guoliang |
|
2016
|
Quasi-periodic solutions to the hierarchy of four-component Toda lattices. Zbl 1339.37061
Wei, Jiao; Geng, Xianguo; Zeng, Xin |
|
2016
|
Algebro-geometric constructions of the Wadati-Konno-Ichikawa flows and applications. Zbl 1337.37055
Li, Zhu; Geng, Xianguo; Guan, Liang |
|
2016
|
A vector generalization of Volterra type differential-difference equations. Zbl 1351.39008
Wei, Jiao; Geng, Xianguo |
|
2016
|
Integrable couplings of fractional L-hierarchy and its Hamiltonian structures. Zbl 1347.65188
Wu, Jingzhu; Xing, Xiuzhi; Geng, Xianguo |
|
2016
|
Initial-boundary value problems for the coupled nonlinear Schrödinger equation on the half-line. Zbl 1338.35408
Geng, Xianguo; Liu, Huan; Zhu, Junyi |
|
2015
|
Explicit quasi-periodic solutions of the Kaup-Newell hierarchy. Zbl 1317.37088
Geng, Xianguo; Li, Zhu; Xue, Bo; Guan, Liang |
|
2015
|
Darboux transformation of the Drinfeld-Sokolov-Satsuma-Hirota system and exact solutions. Zbl 1360.37168
Geng, Xianguo; Li, Ruomeng |
|
2015
|
A new integrable equation with peakons and cuspons and its bi-Hamiltonian structure. Zbl 1326.35066
Geng, Xianguo; Li, Ruomeng; Xue, Bo |
|
2015
|
Algebro-geometric solution to the Bullough-Dodd-Zhiber-Shabat equation. Zbl 1315.35184
Wu, Lihua; Geng, Xianguo; Zhang, Jinshun |
|
2015
|
Generalized bilinear differential operators application in a \((3+1)\)-dimensional generalized shallow water equation. Zbl 1342.35270
Wu, Jingzhu; Xing, Xiuzhi; Geng, Xianguo |
|
2015
|
A hierarchy of new nonlinear evolution equations and generalized bi-Hamiltonian structures. Zbl 1410.35189
Wei, Jiao; Geng, Xianguo |
|
2015
|
Algebro-geometric solutions to a new hierarchy of soliton equations. Zbl 1339.37071
Wang, Hui; Geng, Xianguo |
|
2015
|
A note on the quasi-periodic solutions of the modified Boussinesq hierarchy. Zbl 1321.35191
Wu, Lihua; He, Guoliang; Geng, Xianguo |
|
2015
|
Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy. Zbl 1304.37046
Geng, Xianguo; Zhai, Yunyun; Dai, H. H. |
|
2014
|
The AB equations and the \(\bar\partial\)-dressing method in semi-characteristic coordinates. Zbl 1302.37044
Zhu, Junyi; Geng, Xianguo |
|
2014
|
Algebro-geometric quasi-periodic solutions to the three-wave resonant interaction hierarchy. Zbl 1319.35211
He, Guoliang; Geng, Xianguo; Wu, Lihua |
|
2014
|
Algebro-geometric solutions of the discrete Ragnisco-Tu hierarchy. Zbl 1417.37247
Zeng, Xin; Geng, Xianguo |
|
2014
|
Quasiperiodic solutions of the discrete Chen-Lee-Liu hierarchy. Zbl 1310.37038
Zeng, Xin; Geng, Xianguo |
|
2014
|
Nonlinear super integrable couplings of super classical-Boussinesq hierarchy. Zbl 1406.37054
Xing, Xiuzhi; Wu, Jingzhu; Geng, Xianguo |
|
2014
|
Explicit quasi-periodic solutions of the Vakhnenko equation. Zbl 1304.35045
Zhai, Yunyun; Geng, Xianguo; He, Guoliang |
|
2014
|
A super hierarchy of coupled derivative nonlinear Schrödinger equations and conservation laws. Zbl 1457.37086
He, Guoliang; Zhai, Yunyun; Geng, Xianguo |
|
2014
|
Quasi-periodic solutions of the Kaup-Kupershmidt hierarchy. Zbl 1309.37070
Geng, Xianguo; Wu, Lihua; He, Guoliang |
|
2013
|
A hierarchy of coupled evolution equations with self-consistent sources and the dressing method. Zbl 1275.37034
Zhu, Junyi; Geng, Xianguo |
|
2013
|
A super Camassa-Holm equation with \(N\)-peakon solutions. Zbl 1282.35284
Geng, Xianguo; Xue, Bo; Wu, Lihua |
|
2013
|
Straightening out of the flows for the Hu hierarchy and its algebro-geometric solutions. Zbl 1256.35043
Zhai, Yunyun; Geng, Xianguo |
|
2013
|
Novel Wronskian condition and new exact solutions to a \((3+1)\)-dimensional generalized KP equation. Zbl 1284.35384
Wu, Jian-Ping; Geng, Xian-Guo |
|
2013
|
The full positive flows of Manakov hierarchy, Hamiltonian structures and conservation laws. Zbl 1329.35294
Wu, Lihua; He, Guoliang; Geng, Xianguo |
|
2013
|
Algebro-geometric solutions of the TD hierarchy. Zbl 1303.37023
Geng, Xianguo; Zeng, Xin; Xue, Bo |
|
2013
|
| ...and 97 more Documents |
