On the Riemann–Hilbert problem of a generalized derivative nonlinear Schrödinger equation

Communications in Theoretical Physics ◽

10.1088/1572-9494/abc3ac ◽

2020 ◽

Vol 73 (1) ◽

pp. 015002

Author(s):

Bei-Bei Hu ◽

Ling Zhang ◽

Tie-Cheng Xia

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Hilbert Problem ◽

Nonlinear Schrodinger Equation ◽

Generalized Derivative ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

Riemann Hilbert Problem

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On the Riemann–Hilbert problem for the mixed Chen–Lee–Liu derivative nonlinear Schrödinger equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113393 ◽

2021 ◽

Vol 390 ◽

pp. 113393

Author(s):

Beibei Hu ◽

Ling Zhang ◽

Ning Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Hilbert Problem ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

Riemann Hilbert Problem

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Bilinearization of a Generalized Derivative Nonlinear Schrödinger Equation

Journal of the Physical Society of Japan ◽

10.1143/jpsj.64.1519 ◽

1995 ◽

Vol 64 (5) ◽

pp. 1519-1523 ◽

Author(s):

Saburo Kakei ◽

Narimasa Sasa ◽

Junkichi Satsuma

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Generalized Derivative ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Riemann-Hilbert problem and dynamics of soliton solutions of the fifth-order nonlinear Schrödinger equation

Applied Mathematics Letters ◽

10.1016/j.aml.2022.107904 ◽

2022 ◽

pp. 107904

Author(s):

Jin-Jie Yang ◽

Shou-Fu Tian

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Hilbert Problem ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Fifth Order ◽

Riemann Hilbert Problem

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The Riemann - Hilbert problem associated with the quantum nonlinear Schrödinger equation

Journal of Physics A General Physics ◽

10.1088/0305-4470/30/23/021 ◽

1997 ◽

Vol 30 (23) ◽

pp. 8241-8255 ◽

Author(s):

V E Korepin ◽

N A Slavnov

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Hilbert Problem ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Riemann Hilbert Problem

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Solitary waves with the Madelung fluid description: A generalized derivative nonlinear Schrödinger equation

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2015.07.007 ◽

2016 ◽

Vol 31 (1-3) ◽

pp. 40-46 ◽

Author(s):

Xing Lü ◽

Wen-Xiu Ma ◽

Jun Yu ◽

Chaudry Masood Khalique

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Solitary Waves ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Generalized Derivative ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

Madelung Fluid ◽

Madelung Fluid Description

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Well-posedness for a generalized derivative nonlinear Schrödinger equation

Journal of Differential Equations ◽

10.1016/j.jde.2016.08.018 ◽

2016 ◽

Vol 261 (10) ◽

pp. 5424-5445 ◽

Author(s):

Masayuki Hayashi ◽

Tohru Ozawa

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Generalized Derivative ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Riemann–Hilbert problem for the Kundu-type nonlinear Schrödinger equation with $$N$$ distinct arbitrary-order poles

Theoretical and Mathematical Physics ◽

10.1134/s0040577921040024 ◽

2021 ◽

Vol 207 (1) ◽

pp. 415-433

Author(s):

Zi-Yi Wang ◽

Shou-Fu Tian ◽

Xiao-Fan Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Arbitrary Order ◽

Hilbert Problem ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Riemann Hilbert Problem

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Interactions of Localized Wave and Dynamics Analysis in Generalized Derivative Nonlinear Schrödinger Equation

SSRN Electronic Journal ◽

10.2139/ssrn.3964466 ◽

2021 ◽

Author(s):

Xinyue Li ◽

Guangfu Han ◽

Qiulan Zhao

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Dynamics Analysis ◽

Generalized Derivative ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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The N ‐coupled higher‐order nonlinear Schrödinger equation: Riemann‐Hilbert problem and multi‐soliton solutions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6055 ◽

2019 ◽

Vol 43 (5) ◽

pp. 2458-2472 ◽

Author(s):

Jin‐Jie Yang ◽

Shou‐Fu Tian ◽

Wei‐Qi Peng ◽

Tian‐Tian Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Hilbert Problem ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Riemann Hilbert Problem

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Riemann-Hilbert problem for a fourth-order dispersive nonlinear Schrödinger equation on the half-line

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124078 ◽

2020 ◽

Vol 488 (2) ◽

pp. 124078

Author(s):

Yu-Feng Wang ◽

Bo-Ling Guo ◽

Nan Liu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Hilbert Problem ◽

Nonlinear Schrodinger Equation ◽

Half Line ◽

Nonlinear Schrödinger ◽

Riemann Hilbert Problem

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