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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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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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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Global well-posedness on the derivative nonlinear Schrödinger equation

Analysis & PDE ◽

10.2140/apde.2015.8.1101 ◽

2015 ◽

Vol 8 (5) ◽

pp. 1101-1112 ◽

Author(s):

Yifei Wu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Local well-posedness for the nonlocal derivative nonlinear Schrödinger equation in Besov spaces

Nonlinear Analysis ◽

10.1016/j.na.2019.05.005 ◽

2019 ◽

Vol 187 ◽

pp. 320-338

Author(s):

Vanessa Barros ◽

Roger de Moura ◽

Gleison Santos

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Besov Spaces ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

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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Normal form approach to global well-posedness of the quadratic derivative nonlinear Schrödinger equation on the circle

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2016.10.003 ◽

2017 ◽

Vol 34 (5) ◽

pp. 1273-1297 ◽

Author(s):

Jaywan Chung ◽

Zihua Guo ◽

Soonsik Kwon ◽

Tadahiro Oh

Keyword(s):

Normal Form ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

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A remark on global well-posedness of the derivative nonlinear Schrödinger equation on the circle

Comptes Rendus Mathematique ◽

10.1016/j.crma.2015.06.015 ◽

2015 ◽

Vol 353 (9) ◽

pp. 837-841 ◽

Author(s):

Razvan Mosincat ◽

Tadahiro Oh

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

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 ◽

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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Local well-posedness for the derivative nonlinear Schrödinger Equation in Besov Spaces

Hokkaido Mathematical Journal ◽

10.14492/hokmj/1550480650 ◽

2019 ◽

Vol 48 (1) ◽

pp. 207-244

Author(s):

Cai Constantin CLOOS

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Besov Spaces ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

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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