Orbital Stability of Solitary Waves for Generalized Klein-Gordon-Schrodinger Equations

Wenhui Qi; Guoguang Lin

doi:10.4236/am.2011.28139

Orbital Stability of Solitary Waves for Generalized Klein-Gordon-Schrodinger Equations

Applied Mathematics ◽

10.4236/am.2011.28139 ◽

2011 ◽

Vol 02 (08) ◽

pp. 1005-1010

Author(s):

Wenhui Qi ◽

Guoguang Lin

Keyword(s):

Solitary Waves ◽

Orbital Stability ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Klein Gordon ◽

Stability Of Solitary Waves

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Orbital Stability of Solitary Waves for Generalized Derivative Nonlinear Schrödinger Equations in the Endpoint Case

Annales Henri Poincaré ◽

10.1007/s00023-018-0696-0 ◽

2018 ◽

Vol 19 (9) ◽

pp. 2701-2715 ◽

Cited By ~ 2

Author(s):

Qing Guo

Keyword(s):

Solitary Waves ◽

Orbital Stability ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Generalized Derivative ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Stability Of Solitary Waves

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On asymptotic stability of solitary waves for nonlinear Schrödinger equations

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/s0294-1449(02)00018-5 ◽

2003 ◽

Vol 20 (3) ◽

pp. 419-475 ◽

Cited By ~ 110

Author(s):

Vladimir S. Buslaev ◽

Catherine Sulem

Keyword(s):

Asymptotic Stability ◽

Solitary Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Stability Of Solitary Waves

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Orbital stability of solitary waves of the coupled Klein-Gordon-Zakharov equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4187 ◽

2016 ◽

Vol 40 (7) ◽

pp. 2623-2633 ◽

Cited By ~ 24

Author(s):

Xiaoxiao Zheng ◽

Yadong Shang ◽

Xiaoming Peng

Keyword(s):

Solitary Waves ◽

Orbital Stability ◽

Klein Gordon ◽

Stability Of Solitary Waves

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Orbital stability of solitary waves for the Klein-Gordon-Zakharov equations

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/bf02677396 ◽

1999 ◽

Vol 15 (1) ◽

pp. 54-64 ◽

Cited By ~ 18

Author(s):

Chen Lin

Keyword(s):

Solitary Waves ◽

Orbital Stability ◽

Klein Gordon ◽

Stability Of Solitary Waves

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Stability of solitary waves for a system of nonlinear Schrödinger equations with three wave interaction

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2009.01.011 ◽

2009 ◽

Vol 26 (6) ◽

pp. 2211-2226 ◽

Cited By ~ 33

Author(s):

M. Colin ◽

Th. Colin ◽

M. Ohta

Keyword(s):

Solitary Waves ◽

Wave Interaction ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Stability Of Solitary Waves

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Asymptotic stability of solitary waves for nonlinear Schrödinger equations

The Legacy of the Inverse Scattering Transform in Applied Mathematics - Contemporary Mathematics ◽

10.1090/conm/301/05163 ◽

2002 ◽

pp. 163-181 ◽

Cited By ~ 1

Author(s):

Vladimir S. Buslaev ◽

Catherine Sulem

Keyword(s):

Asymptotic Stability ◽

Solitary Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Stability Of Solitary Waves

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Stability of solitary waves for the generalized nonautonomous dual-power nonlinear Schrödinger equations with time-dependent coefficients

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2016.06.014 ◽

2017 ◽

Vol 42 ◽

pp. 520-531 ◽

Cited By ~ 3

Author(s):

Lijia Han ◽

Jin Gao

Keyword(s):

Solitary Waves ◽

Nonlinear Schrödinger Equations ◽

Time Dependent ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Stability Of Solitary Waves ◽

Dual Power

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On the stability of solitary waves for nonlinear Schrödinger equations

Nonlinear Evolution Equations - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/164/04 ◽

1995 ◽

pp. 75-98 ◽

Cited By ~ 60

Author(s):

V. S. Buslaev ◽

G. S. Perelman

Keyword(s):

Solitary Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Stability Of Solitary Waves ◽

The Stability

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Stability of solitary waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities

Physica D Nonlinear Phenomena ◽

10.1016/s0167-2789(02)00626-7 ◽

2003 ◽

Vol 175 (1-2) ◽

pp. 96-108 ◽

Cited By ~ 43

Author(s):

Gadi Fibich ◽

Xiao-Ping Wang

Keyword(s):

Solitary Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Stability Of Solitary Waves

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Numerical computations for bifurcations and spectral stability of solitary waves in coupled nonlinear Schrödinger equations

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/s13160-021-00485-9 ◽

2021 ◽

Author(s):

Kazuyuki Yagasaki ◽

Shotaro Yamazoe

Keyword(s):

Solitary Waves ◽

Spectral Stability ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Numerical Computations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Stability Of Solitary Waves

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