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Ma, WX, Application of the Riemann-Hilbert approach to the multicomponent AKNS integrable hierarchies, Nonlinear Anal. Real World Appl., 47, 1-17 (2019) · Zbl 1406.37051 · doi:10.1016/j.nonrwa.2018.09.017 |
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Ma, W.X.: A novel kind of reduced integrable matrix mKdV equations and their binary Darboux transformations. Mod. Phys. Lett. B 36, to appear (2022). doi:10.1142/S0217984922500944 |
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Ablowitz, MJ; Musslimani, ZH, Integrable nonlocal nonlinear equations, Stud. Appl. Math., 139, 7-59 (2017) · Zbl 1373.35281 · doi:10.1111/sapm.12153 |
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Ma, WX, Nonlocal PT-symmetric integrable equations and related Riemann-Hilbert problems, Partial Differ. Equ. Appl. Math., 4 (2021) · doi:10.1016/j.padiff.2021.100190 |
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Ma, WX, Inverse scattering for nonlocal reverse-time nonlinear Schrödinger equations, Appl. Math. Lett., 102 (2020) · Zbl 1440.35307 · doi:10.1016/j.aml.2019.106161 |
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Ma, WX; Huang, YH; Wang, FD, Inverse scattering transforms and soliton solutions of nonlocal reverse-space nonlinear Schrödinger hierarchies, Stud. Appl. Math., 145, 563-585 (2020) · Zbl 1454.35348 · doi:10.1111/sapm.12329 |
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Ma, WX, Riemann-Hilbert problems and soliton solutions of type \(( \lambda^*,-\lambda^*)\) reduced nonlocal integrable mKdV hierarchies, Math., 10, 870 (2022) · doi:10.3390/math10060870 |
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Ma, WX, Type \((-\lambda,-\lambda^*)\) reduced nonlocal integrable mKdV equations and their soliton solutions, Appl. Math. Lett., 131 (2022) · Zbl 1492.35276 · doi:10.1016/j.aml.2022.108074 |
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Ling, LM; Ma, WX, Inverse scattering and soliton solutions of nonlocal complex reverse-spacetime modified Korteweg-de Vries hierarchies, Symmetry, 13, 512 (2021) · doi:10.3390/sym13030512 |
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Ma, WX, The algebraic structure of zero curvature representations and application to coupled KdV systems, J. Phys. A Math. Gen., 26, 2573-2582 (1993) · Zbl 0789.35144 · doi:10.1088/0305-4470/26/11/009 |
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Ma, WX, Integrable nonlocal PT-symmetric modified Korteweg-de Vries equations associated with so \((3,{\mathbb{R} } )\), Symmetry, 13, 2205 (2021) · doi:10.3390/sym13112205 |
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Ji, JL; Zhu, ZN, On a nonlocal modified Korteweg-de Vries equation: Integrability, Darboux transformation and soliton solutions, Commun. Nonlinear Sci. Numer. Simul., 42, 699-708 (2017) · Zbl 1473.37081 · doi:10.1016/j.cnsns.2016.06.015 |
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Song, CQ; Xiao, DM; Zhu, ZN, Solitons and dynamics for a general integrable nonlocal coupled nonlinear Schrödinger equation, Commun. Nonlinear Sci. Numer. Simul., 45, 13-28 (2017) · Zbl 1485.35346 · doi:10.1016/j.cnsns.2016.09.013 |
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Gürses, M.; Pekcan, A., Nonlocal nonlinear Schrödinger equations and their soliton solutions, J. Math. Phys., 59 (2018) · Zbl 1392.35285 · doi:10.1063/1.4997835 |
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Gürses, M.; Pekcan, A., Nonlocal modified KdV equations and their soliton solutions by Hirota method, Commun. Nonlinear Sci. Numer. Simul., 67, 427-448 (2019) · Zbl 1508.35121 · doi:10.1016/j.cnsns.2018.07.013 |
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Yang, J., General N-solitons and their dynamics in several nonlocal nonlinear Schrödinger equations, Phys. Lett. A, 383, 328-337 (2019) · Zbl 1473.35519 · doi:10.1016/j.physleta.2018.10.051 |
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Ma, WX, Inverse scattering and soliton solutions of nonlocal reverse-spacetime nonlinear Schrödinger equations, Proc. Amer. Math. Soc., 149, 251-263 (2021) · Zbl 1477.37078 · doi:10.1090/proc/15174 |
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Adjiri, A.; Ahmed, A.; Ma, WX, Riemann-Hilbert problems of a nonlocal reverse-time six-component AKNS system of fourth order and its exact soliton solutions, Int. J. Mod. Phys. B, 35, 2150035 (2022) · Zbl 1455.35165 · doi:10.1142/S0217979221500351 |
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Ma, WX, Riemann-Hilbert problems and soliton solutions of nonlocal reverse-time NLS hierarchies, Acta Math. Sci., 42B, 127-140 (2022) · Zbl 1513.37041 · doi:10.1007/s10473-022-0106-z |
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Ma, WX, Riemann-Hilbert problems and inverse scattering of nonlocal real reverse-spacetime matrix AKNS hierarchies, Physica D, 430 (2022) · Zbl 1487.35270 · doi:10.1016/j.physd.2021.133078 |
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Ma, WX, Riemann-Hilbert problems and soliton solutions of a multicomponent mKdV system and its reduction, Math. Meth. Appl. Sci., 42, 1099-1113 (2019) · Zbl 1503.35121 · doi:10.1002/mma.5416 |
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Yang, J., Phyiscally significant nonlocal nonlinear Schrödinger equation and its soliton solutions, Phys. Rev. E, 98 (2018) · doi:10.1103/PhysRevE.98.042202 |
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Ma, WX, Integrable nonlocal nonlinear Schrödinger equations associated with so \((3,{\mathbb{R} } )\), Proc. Amer. Math. Soc. Ser. B, 9, 1-11 (2022) · Zbl 1493.37078 · doi:10.1090/bproc/116 |
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Ma, WX, Nonlocal integrable mKdV equations by two nonlocal reductions and their soliton solutions, J. Geom. Phys., 177 (2022) · Zbl 1502.37069 · doi:10.1016/j.geomphys.2022.104522 |
