Orbital stability of solitary waves for derivative nonlinear Schrödinger equation

Journal d Analyse Mathématique ◽

10.1007/s11854-018-0038-7 ◽

2018 ◽

Vol 135 (2) ◽

pp. 473-486 ◽

Author(s):

Soonsik Kwon ◽

Yifei Wu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Solitary Waves ◽

Schrodinger Equation ◽

Orbital Stability ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

Stability Of Solitary Waves

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Stability of solitary waves for derivative nonlinear Schrödinger equation

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2005.09.003 ◽

2006 ◽

Vol 23 (5) ◽

pp. 753-764 ◽

Author(s):

Mathieu Colin ◽

Masahito Ohta

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Solitary Waves ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

Stability Of Solitary Waves

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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 ◽

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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Orbital stability of solitary waves for a higher-order nonlinear Schrödinger equation

Chaos Solitons & Fractals ◽

10.1016/0960-0779(94)90044-2 ◽

1994 ◽

Vol 4 (12) ◽

pp. 2245-2248 ◽

Author(s):

Masahito Ohta

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Solitary Waves ◽

Schrodinger Equation ◽

Orbital Stability ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Stability Of Solitary Waves

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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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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 ◽

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 the vector nonlinear Schrödinger equation in higher-order Sobolev spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2013.07.050 ◽

2014 ◽

Vol 409 (2) ◽

pp. 946-962

Author(s):

Nghiem V. Nguyen

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Solitary Waves ◽

Sobolev Spaces ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Stability Of Solitary Waves

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Solving localized wave solutions of the derivative nonlinear Schrödinger equation using an improved PINN method

Nonlinear Dynamics ◽

10.1007/s11071-021-06554-5 ◽

2021 ◽

Author(s):

Juncai Pu ◽

Jun Li ◽

Yong Chen

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Derivative Nonlinear Schrödinger Equation

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The data-driven localized wave solutions of the derivative nonlinear Schrödinger equation by using improved PINN approach

Wave Motion ◽

10.1016/j.wavemoti.2021.102823 ◽

2021 ◽

pp. 102823

Author(s):

Juncai Pu ◽

Weiqi Peng ◽

Yong Chen

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Data Driven ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Derivative Nonlinear Schrödinger Equation

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Remarks on blow-up criteria for the derivative nonlinear Schrödinger equation under the optimal threshold setting

Journal of Differential Equations ◽

10.1016/j.jde.2021.05.003 ◽

2021 ◽

Vol 291 ◽

pp. 90-109

Author(s):

Hideo Takaoka

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Blow Up ◽

Nonlinear Schrodinger Equation ◽

Optimal Threshold ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

Threshold Setting

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Triple-pole soliton solutions of the derivative nonlinear Schrödinger equation via inverse scattering transform

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107741 ◽

2021 ◽

pp. 107741

Author(s):

Nan Liu ◽

Zuxing Xuan ◽

Jinyi Sun

Keyword(s):

Schrödinger Equation ◽

Inverse Scattering ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Inverse Scattering Transform ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Scattering Transform ◽

Derivative Nonlinear Schrödinger Equation

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