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Tian, He-Yuan

Co-Author Distance
Author ID: tian.he-yuan Recent zbMATH articles by "Tian, He-Yuan"
Published as: Tian, He-Yuan
Documents Indexed: 17 Publications since 2003
Co-Authors: 19 Co-Authors with 10 Joint Publications
445 Co-Co-Authors
all top 5

Co-Authors

1 single-authored
10 Tian, Bo
4 Chan, Chiu Yeung
3 Chen, Su-Su
3 Qu, Qixing
3 Yang, Danyu
3 Zhang, Chen-Rong
2 Wang, Meng
2 Zhang, Ze
2 Zhao, Xue-Hui
1 Chen, Yuqi
1 Chu, Mei-Xia
1 Hu, Congcong
1 Jiang, Yan
1 Khatri Ghimire, B.
1 Lamichhane, A. R.
1 Li, He
1 Liu, Lei
1 Shan, Wenrui
1 Sun, Yan
1 Wei, Cheng-Cheng
1 Yuan, Yu-Qiang
1 Zhao, Xin
all top 5

Serials

2 Applied Mathematics and Computation
2 International Journal of Computer Mathematics
1 International Journal of Modern Physics B
1 Computers & Mathematics with Applications
1 Journal of Mathematical Analysis and Applications
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Chaos, Solitons and Fractals
1 Quarterly of Applied Mathematics
1 Applied Mathematics Letters
1 Neural, Parallel & Scientific Computations
1 Nonlinear Dynamics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Communications in Nonlinear Science and Numerical Simulation
1 Communications in Theoretical Physics
all top 5

Fields

16 Partial differential equations (35-XX)
7 Optics, electromagnetic theory (78-XX)
4 Dynamical systems and ergodic theory (37-XX)
2 Numerical analysis (65-XX)
2 Computer science (68-XX)
2 Fluid mechanics (76-XX)
2 Quantum theory (81-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Operator theory (47-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

15 Publications have been cited 130 times in 96 Documents Cited by ▼ Year ▼
Vector bright solitons and their interactions of the couple Fokas-Lenells system in a birefringent optical fiber. Zbl 1508.35164
Zhang, Chen-Rong; Tian, Bo; Qu, Qi-Xing; Liu, Lei; Tian, He-Yuan
46
2020
Darboux transformation, localized waves and conservation laws for an \(M\)-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber. Zbl 1506.78011
Yang, Dan-Yu; Tian, Bo; Tian, He-Yuan; Wei, Cheng-Cheng; Shan, Wen-Rui; Jiang, Yan
29
2022
Numerical solutions of elliptic partial differential equations using Chebyshev polynomials. Zbl 1359.65275
Khatri Ghimire, B.; Tian, H. Y.; Lamichhane, A. R.
16
2016
Ablowitz-Kaup-Newell-Segur system, conservation laws and Bäcklund transformation of a variable-coefficient Korteweg-de Vries equation in plasma physics, fluid dynamics or atmospheric science. Zbl 1451.35158
Chen, Yu-Qi; Tian, Bo; Qu, Qi-Xing; Li, He; Zhao, Xue-Hui; Tian, He-Yuan; Wang, Meng
15
2020
Lump, lumpoff, rogue wave, breather wave and periodic lump solutions for a \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation in fluid mechanics and plasma physics. Zbl 1483.35166
Wang, Meng; Tian, Bo; Qu, Qi-Xing; Zhao, Xue-Hui; Zhang, Ze; Tian, He-Yuan
14
2020
Multi-dimensional explosion due to a concentrated nonlinear source. Zbl 1049.35055
Chan, C. Y.; Tian, H. Y.
10
2004
Single-point blow-up for a degenerate parabolic problem due to a concentrated nonlinear source. Zbl 1032.35105
Chan, C. Y.; Tian, H. Y.
9
2003
Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix. Zbl 1508.35160
Tian, He-Yuan; Tian, Bo; Sun, Yan; Zhang, Chen-Rong
8
2022
Darboux dressing transformation and superregular breathers for a coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fibre. Zbl 1479.35827
Tian, He-Yuan; Tian, Bo; Zhang, Chen-Rong; Chen, Su-Su
8
2021
A criterion for a multi-dimensional explosion due to a concentrated nonlinear source. Zbl 1090.35100
Chan, C. Y.; Tian, H. Y.
7
2006
Bilinear Bäcklund transformation, Lax pair and interactions of nonlinear waves for a generalized \((2 + 1)\)-dimensional nonlinear wave equation in nonlinear optics/fluid mechanics/plasma physics. Zbl 1517.37074
Zhao, Xin; Tian, Bo; Tian, He-Yuan; Yang, Dan-Yu
7
2021
Single-point blow-up for a degenerate parabolic problem with a nonlinear source of local and nonlocal features. Zbl 1038.35033
Chan, C. Y.; Tian, H. Y.
2
2003
Computations of critical domains for quenching problems by delta-shaped basis functions. Zbl 1140.68531
Tian, H. Y.
2
2007
Riemann-Hilbert approach, dark solitons and double-pole solutions for Lakshmanan-Porsezian-Daniel equation in an optical fiber, a ferromagnetic spin or a protein. Zbl 07899968
Chen, Su-Su; Tian, Bo; Tian, He-Yuan; Hu, Cong-Cong
2
2024
Bilinear forms and dark-dark solitons for the coupled cubic-quintic nonlinear Schrödinger equations with variable coefficients in a twin-core optical fiber or non-Kerr medium. Zbl 1452.35183
Chu, Mei-Xia; Tian, Bo; Yuan, Yu-Qiang; Zhang, Ze; Tian, He-Yuan
1
2019
Riemann-Hilbert approach, dark solitons and double-pole solutions for Lakshmanan-Porsezian-Daniel equation in an optical fiber, a ferromagnetic spin or a protein. Zbl 07899968
Chen, Su-Su; Tian, Bo; Tian, He-Yuan; Hu, Cong-Cong
2
2024
Darboux transformation, localized waves and conservation laws for an \(M\)-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber. Zbl 1506.78011
Yang, Dan-Yu; Tian, Bo; Tian, He-Yuan; Wei, Cheng-Cheng; Shan, Wen-Rui; Jiang, Yan
29
2022
Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix. Zbl 1508.35160
Tian, He-Yuan; Tian, Bo; Sun, Yan; Zhang, Chen-Rong
8
2022
Darboux dressing transformation and superregular breathers for a coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fibre. Zbl 1479.35827
Tian, He-Yuan; Tian, Bo; Zhang, Chen-Rong; Chen, Su-Su
8
2021
Bilinear Bäcklund transformation, Lax pair and interactions of nonlinear waves for a generalized \((2 + 1)\)-dimensional nonlinear wave equation in nonlinear optics/fluid mechanics/plasma physics. Zbl 1517.37074
Zhao, Xin; Tian, Bo; Tian, He-Yuan; Yang, Dan-Yu
7
2021
Vector bright solitons and their interactions of the couple Fokas-Lenells system in a birefringent optical fiber. Zbl 1508.35164
Zhang, Chen-Rong; Tian, Bo; Qu, Qi-Xing; Liu, Lei; Tian, He-Yuan
46
2020
Ablowitz-Kaup-Newell-Segur system, conservation laws and Bäcklund transformation of a variable-coefficient Korteweg-de Vries equation in plasma physics, fluid dynamics or atmospheric science. Zbl 1451.35158
Chen, Yu-Qi; Tian, Bo; Qu, Qi-Xing; Li, He; Zhao, Xue-Hui; Tian, He-Yuan; Wang, Meng
15
2020
Lump, lumpoff, rogue wave, breather wave and periodic lump solutions for a \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation in fluid mechanics and plasma physics. Zbl 1483.35166
Wang, Meng; Tian, Bo; Qu, Qi-Xing; Zhao, Xue-Hui; Zhang, Ze; Tian, He-Yuan
14
2020
Bilinear forms and dark-dark solitons for the coupled cubic-quintic nonlinear Schrödinger equations with variable coefficients in a twin-core optical fiber or non-Kerr medium. Zbl 1452.35183
Chu, Mei-Xia; Tian, Bo; Yuan, Yu-Qiang; Zhang, Ze; Tian, He-Yuan
1
2019
Numerical solutions of elliptic partial differential equations using Chebyshev polynomials. Zbl 1359.65275
Khatri Ghimire, B.; Tian, H. Y.; Lamichhane, A. R.
16
2016
Computations of critical domains for quenching problems by delta-shaped basis functions. Zbl 1140.68531
Tian, H. Y.
2
2007
A criterion for a multi-dimensional explosion due to a concentrated nonlinear source. Zbl 1090.35100
Chan, C. Y.; Tian, H. Y.
7
2006
Multi-dimensional explosion due to a concentrated nonlinear source. Zbl 1049.35055
Chan, C. Y.; Tian, H. Y.
10
2004
Single-point blow-up for a degenerate parabolic problem due to a concentrated nonlinear source. Zbl 1032.35105
Chan, C. Y.; Tian, H. Y.
9
2003
Single-point blow-up for a degenerate parabolic problem with a nonlinear source of local and nonlocal features. Zbl 1038.35033
Chan, C. Y.; Tian, H. Y.
2
2003
all cited Publications top 5 cited Publications
all top 5

Cited by 149 Authors

19 Gao, Xinyi
17 Guo, Yongjiang
17 Shan, Wenrui
16 Gao, Yitian
14 Tian, Bo
10 Yu, Xin
9 Ding, Cui-Cui
9 Gao, Xiao-Tian
8 Li, Liu-Qing
8 Shen, Yuan
7 Zhou, Tian-Yu
6 Khalique, Chaudry Masood
6 Yang, Danyu
5 Jia, Tingting
5 Liu, Feiyan
5 Wu, Xi-Hu
4 Adeyemo, Oke Davies
4 Deng, Gao-Fu
4 Feng, Chunhui
4 Hu, Lei
4 Wang, Dong
3 Javid, Ahmad
2 Baskonus, Haci Mehmet
2 Biswas, Anjan
2 Chen, Yuqi
2 Cheng, Chong-Dong
2 Du, Xia-Xia
2 Du, Zhong
2 Ekici, Mehmet
2 Khan, Salam
2 Li, Bangqing
2 Li, Biao
2 Ma, Wen-Xiu
2 Raza, Nauman
2 Triki, Houria
2 Zhang, Cai-Yin
1 Ahmed, Hamdy M.
1 Alam, Badar E.
1 Alfaqeih, Suliman
1 Ali Akbar, M.
1 Ali, Kashif
1 Ali, Md. Emran
1 Alngar, Mohamed E. M.
1 Alquran, Marwan Taiseer
1 Alshomrani, Ali Saleh
1 Alzahrani, Abdullah Khamis Hassan
1 Arnous, Ahmed H.
1 Badra, Niveen M.
1 Bai, Shuting
1 Bakıcıerler, Gizel
1 Bekir, Ahmet
1 Belić, Milivoj R.
1 Bouzit, Omar
1 Butt, Asma Rashid
1 Chen, Qingxian
1 Chen, Sijia
1 Chen, Wenxia
1 Chen, Yong
1 Dai, Houping
1 Dubey, Shruti A.
1 Dwivedi, Sharad
1 El-Horbaty, Mahmoud M.
1 Elboree, Mohammed K.
1 Fan, Engui
1 Fang, Miaoshuang
1 Feng, Yujie
1 Geng, Xianguo
1 González-Gaxiola, Oswaldo
1 Gougam, Leila Ait
1 Guo, Bowen
1 Haque, Md. Dalim
1 Hu, Yuru
1 Huang, Yehui
1 Huang, Yi
1 Jaradat, Imad
1 Ji, Ting
1 Jia, Huixian
1 Kayum, Md. Abdul
1 Kumar, Ajay
1 Kumar, Dipankar
1 Li, Lingfei
1 Li, Mengjun
1 Li, Xianghong
1 Lin, Ji
1 Lin, Shuning
1 Liu, Chong
1 Liu, Hanze
1 Liu, Haodong
1 Liu, Quansheng
1 Liu, Shaohua
1 Lü, Xing
1 Luo, Lin
1 Ma, LiYuan
1 Ma, Tian-Ping
1 Ma, Yulan
1 Mebrouk, Khireddine
1 Mehmood, Anila
1 Meng, Gao-Qing
1 Meng, Shu-Jun
1 Misirli, Emine E.
...and 49 more Authors
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Cited in 32 Serials

16 Qualitative Theory of Dynamical Systems
12 Chaos, Solitons and Fractals
11 Chinese Journal of Physics (Taipei)
6 Wave Motion
6 Applied Mathematics Letters
6 Communications in Theoretical Physics
4 Physics Letters. A
4 Communications in Nonlinear Science and Numerical Simulation
3 Applied Mathematics and Computation
2 Physica A
2 Mathematics and Computers in Simulation
2 International Journal of Computer Mathematics
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Journal of Nonlinear Mathematical Physics
1 Acta Mechanica
1 Computers & Mathematics with Applications
1 International Journal of Theoretical Physics
1 Journal of Mathematical Analysis and Applications
1 Theoretical and Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Journal of Geometry and Physics
1 Journal of Computational and Applied Mathematics
1 Physica D
1 Nonlinear Dynamics
1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan
1 International Journal of Geometric Methods in Modern Physics
1 Waves in Random and Complex Media
1 Mathematical Modelling of Natural Phenomena
1 Mathematical Sciences
1 East Asian Journal on Applied Mathematics
1 International Journal of Applied and Computational Mathematics
1 Communications on Applied Mathematics and Computation
all top 5

Cited in 19 Fields

89 Partial differential equations (35-XX)
42 Dynamical systems and ergodic theory (37-XX)
29 Fluid mechanics (76-XX)
16 Optics, electromagnetic theory (78-XX)
13 Computer science (68-XX)
11 Statistical mechanics, structure of matter (82-XX)
8 Geophysics (86-XX)
5 Quantum theory (81-XX)
3 Numerical analysis (65-XX)
2 Special functions (33-XX)
2 Mechanics of deformable solids (74-XX)
1 Algebraic geometry (14-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Operator theory (47-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of particles and systems (70-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year