Asymptotic behavior in time of solution to the nonlinear Schrödinger equation with higher order anisotropic dispersion

Jean-Claude Saut;  ; Jun-Ichi Segata;

doi:10.3934/dcds.2019009

Asymptotic behavior in time of solution to the nonlinear Schrödinger equation with higher order anisotropic dispersion

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2019009 ◽

2019 ◽

Vol 39 (1) ◽

pp. 219-239 ◽

Cited By ~ 3

Author(s):

Jean-Claude Saut ◽

◽

Jun-Ichi Segata ◽

Keyword(s):

Asymptotic Behavior ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Anisotropic Dispersion

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Long range scattering for the nonlinear Schrödinger equation with higher order anisotropic dispersion in two dimensions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.123638 ◽

2020 ◽

Vol 483 (2) ◽

pp. 123638 ◽

Cited By ~ 1

Author(s):

Jean-Claude Saut ◽

Jun-ichi Segata

Keyword(s):

Schrödinger Equation ◽

Long Range ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Two Dimensions ◽

Nonlinear Schrödinger ◽

Anisotropic Dispersion

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Well-posedness and asymptotic behavior of a generalized higher order nonlinear Schrödinger equation with localized dissipation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.05.001 ◽

2021 ◽

Vol 96 ◽

pp. 188-208

Author(s):

Marcelo M. Cavalcanti ◽

Wellington J. Corrêa ◽

Andrei V. Faminskii ◽

Mauricio A. Sepúlveda C. ◽

Rodrigo Véjar-Asem

Keyword(s):

Asymptotic Behavior ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Nonlinear Schrödinger

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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 ◽

Rogue Wave ◽

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 ◽

Cited By ~ 1

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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Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrödinger equation via the determinants

Applied Mathematics Letters ◽

10.1016/j.aml.2017.02.002 ◽

2017 ◽

Vol 69 ◽

pp. 113-120 ◽

Cited By ~ 25

Author(s):

Guoqiang Zhang ◽

Zhenya Yan ◽

Yong Chen

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Nonlocal Nonlinear Schrödinger Equation ◽

Nonlocal Nonlinear

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Conservation laws, soliton solutions and modulational instability for the higher-order dispersive nonlinear Schrödinger equation

The European Physical Journal B ◽

10.1140/epjb/e2009-00356-3 ◽

2009 ◽

Vol 72 (2) ◽

pp. 233-239 ◽

Cited By ~ 54

Author(s):

Hai-Qiang Zhang ◽

Bo Tian ◽

Xiang-Hua Meng ◽

Xing Lü ◽

Wen-Jun Liu

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Modulational Instability ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Modulation stability and dispersive optical soliton solutions of higher order nonlinear Schrödinger equation and its applications in mono-mode optical fibers

Superlattices and Microstructures ◽

10.1016/j.spmi.2017.11.022 ◽

2018 ◽

Vol 113 ◽

pp. 419-429 ◽

Cited By ~ 19

Author(s):

Muhammad Arshad ◽

Aly R. Seadawy ◽

Dianchen Lu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Optical Fibers ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Optical Soliton ◽

Nonlinear Schrödinger

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Higher-order derivative nonlinear Schrödinger equation in the critical case

Journal of Mathematical Physics ◽

10.1063/1.5008500 ◽

2018 ◽

Vol 59 (2) ◽

pp. 021506

Author(s):

Pavel I. Naumkin ◽

Jhon J. Perez

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Critical Case ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Order Derivative ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

Higher Order Derivative

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