A sufficient condition for global existence of
solutions to a generalized derivative nonlinear Schrödinger equation

Noriyoshi Fukaya; Masayuki Hayashi; Takahisa Inui

doi:10.2140/apde.2017.10.1149

A sufficient condition for global existence of solutions to a generalized derivative nonlinear Schrödinger equation

Analysis & PDE ◽

10.2140/apde.2017.10.1149 ◽

2017 ◽

Vol 10 (5) ◽

pp. 1149-1167 ◽

Cited By ~ 6

Author(s):

Noriyoshi Fukaya ◽

Masayuki Hayashi ◽

Takahisa Inui

Keyword(s):

Global Existence ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Existence Of Solutions ◽

Nonlinear Schrodinger Equation ◽

Sufficient Condition ◽

Generalized Derivative ◽

Global Existence Of Solutions ◽

Derivative Nonlinear Schrödinger Equation

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Global existence of solutions for a fourth-order nonlinear Schrödinger equation in dimensions

Nonlinear Analysis ◽

10.1016/j.na.2010.03.052 ◽

2010 ◽

Vol 73 (2) ◽

pp. 555-563 ◽

Cited By ~ 5

Author(s):

Cuihua Guo

Keyword(s):

Global Existence ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Existence Of Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Global Existence Of Solutions

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Global existence of solutions for a fourth-order nonlinear Schrödinger equation

Applied Mathematics Letters ◽

10.1016/j.aml.2005.10.002 ◽

2006 ◽

Vol 19 (8) ◽

pp. 706-711 ◽

Cited By ~ 14

Author(s):

Cuihua Guo ◽

Shangbin Cui

Keyword(s):

Global Existence ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Existence Of Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Global Existence Of Solutions

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Global existence of solutions for a subcritical nonlinear Schrödinger equation

Nonlinear Analysis ◽

10.1016/j.na.2014.05.019 ◽

2014 ◽

Vol 108 ◽

pp. 189-213

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin

Keyword(s):

Global Existence ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Existence Of Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Global Existence Of Solutions

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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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Instability of the solitary wave solutions for the generalized derivative nonlinear Schrödinger equation in the critical frequency case

Mathematical Research Letters ◽

10.4310/mrl.2020.v27.n2.a2 ◽

2020 ◽

Vol 27 (2) ◽

pp. 339-375

Author(s):

Zihua Guo ◽

Cui Ning ◽

Yifei Wu

Keyword(s):

Solitary Wave ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Critical Frequency ◽

Nonlinear Schrodinger Equation ◽

Solitary Wave Solutions ◽

Generalized Derivative ◽

Wave Solutions ◽

Derivative Nonlinear Schrödinger Equation

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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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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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