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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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 ◽

Cited By ~ 81

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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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 ◽

Cited By ~ 102

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 ◽

Cited By ~ 13

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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Soliton solutions of higher-order generalized derivative nonlinear Schrödinger equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2010.07.021 ◽

2010 ◽

Vol 60 (7) ◽

pp. 1881-1887 ◽

Cited By ~ 1

Author(s):

Jinbo Bi ◽

Dengyuan Chen

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Generalized Derivative ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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A Note on the Bilinearization of the Generalized Derivative Nonlinear Schrödinger Equation

Journal of the Physical Society of Japan ◽

10.7566/jpsj.90.023001 ◽

2021 ◽

Vol 90 (2) ◽

pp. 023001

Author(s):

Junchao Chen ◽

Bao-Feng Feng

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Generalized Derivative ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Domain wall arrays, fronts, and bright and dark solitons in a generalized derivative nonlinear Schrödinger equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2011.05.042 ◽

2011 ◽

Vol 62 (2) ◽

pp. 620-625 ◽

Cited By ~ 4

Author(s):

Jun-Lang Chen ◽

Chao-Qing Dai ◽

Xiao-Gang Wang

Keyword(s):

Domain Wall ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Generalized Derivative ◽

Nonlinear Schrödinger ◽

Dark Solitons ◽

Derivative Nonlinear Schrödinger Equation

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Instability of solitary waves for a generalized derivative nonlinear Schrödinger equation in a borderline case

Kodai Mathematical Journal ◽

10.2996/kmj/1509415227 ◽

2017 ◽

Vol 40 (3) ◽

pp. 450-467 ◽

Cited By ~ 2

Author(s):

Noriyoshi Fukaya

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Solitary Waves ◽

Schrodinger Equation ◽

Borderline Case ◽

Nonlinear Schrodinger Equation ◽

Generalized Derivative ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Stability of Solitary Waves for a Generalized Derivative Nonlinear Schrödinger Equation

Journal of Nonlinear Science ◽

10.1007/s00332-012-9161-2 ◽

2013 ◽

Vol 23 (4) ◽

pp. 557-583 ◽

Cited By ~ 21

Author(s):

Xiao Liu ◽

Gideon Simpson ◽

Catherine Sulem

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Solitary Waves ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Generalized Derivative ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

Stability Of Solitary Waves

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Large time behavior of solutions to the generalized derivative nonlinear Schrödinger equation

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.1999.5.93 ◽

1999 ◽

Vol 5 (1) ◽

pp. 93-106 ◽

Cited By ~ 5

Author(s):

Nakao Hayashi ◽

◽

Elena I. Kaikina ◽

Pavel I. Naumkin ◽

◽

...

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Large Time ◽

Large Time Behavior ◽

Nonlinear Schrodinger Equation ◽

Time Behavior ◽

Generalized Derivative ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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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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