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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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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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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Optical Solitary Waves in the Higher Order Nonlinear Schrödinger Equation

Physical Review Letters ◽

10.1103/physrevlett.78.448 ◽

1997 ◽

Vol 78 (3) ◽

pp. 448-451 ◽

Author(s):

M. Gedalin ◽

T. C. Scott ◽

Y. B. Band

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Solitary Waves ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Optical Solitary Waves in the Generalized Higher Order Nonlinear Schrödinger Equation

Journal of the Physical Society of Japan ◽

10.1143/jpsj.74.543 ◽

2005 ◽

Vol 74 (2) ◽

pp. 543-546 ◽

Author(s):

Hang-yu Ruan ◽

Hui-jun Li

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Solitary Waves ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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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 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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Higher-order nonlinear Schrödinger equation in 2D case

Tohoku Mathematical Journal ◽

10.2748/tmj/1585101619 ◽

2020 ◽

Vol 72 (1) ◽

pp. 15-37

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Multi-rogue wave solutions for a generalized integrable discrete nonlinear Schrödinger equation with higher-order excitations

Nonlinear Dynamics ◽

10.1007/s11071-021-06578-x ◽

2021 ◽

Author(s):

Jun Yang ◽

Yan-Li Zhang ◽

Li-Yuan Ma

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Rogue Wave Solutions

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Optical soliton solutions to a higher-order nonlinear Schrödinger equation with Kerr law nonlinearity

Results in Physics ◽

10.1016/j.rinp.2021.104515 ◽

2021 ◽

pp. 104515

Author(s):

B. Günay

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Optical Soliton ◽

Nonlinear Schrödinger ◽

Kerr Law ◽

Kerr Law Nonlinearity

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Almost general solution of the reduced higher-order nonlinear Schrödinger equation

Optik ◽

10.1016/j.ijleo.2021.166347 ◽

2021 ◽

Vol 230 ◽

pp. 166347 ◽

Author(s):

Nikolay A. Kudryashov

Keyword(s):

General Solution ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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