Concentrating solitary waves for a class of singularly perturbed quasilinear Schrödinger equations with a general nonlinearity

Yi He; Gongbao Li

doi:10.3934/mcrf.2016016

Concentrating solitary waves for a class of singularly perturbed quasilinear Schrödinger equations with a general nonlinearity

Mathematical Control and Related Fields ◽

10.3934/mcrf.2016016 ◽

2016 ◽

Vol 6 (4) ◽

pp. 551-593

Author(s):

Yi He ◽

Gongbao Li

Keyword(s):

Solitary Waves ◽

Singularly Perturbed ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

General Nonlinearity

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Strong instability of solitary waves for inhomogeneous nonlinear Schrödinger equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7731 ◽

2021 ◽

Author(s):

Chenglin Wang ◽

Jian Zhang

Keyword(s):

Solitary Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Strong Instability ◽

Nonlinear Schrodinger Equations

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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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A high-order accurate wavelet method for solving Schrödinger equations with general nonlinearity

Applied Mathematics and Mechanics ◽

10.1007/s10483-018-2299-6 ◽

2017 ◽

Vol 39 (2) ◽

pp. 275-290 ◽

Cited By ~ 1

Author(s):

Jiaqun Wang ◽

Xiaojing Liu ◽

Youhe Zhou

Keyword(s):

High Order ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Wavelet Method ◽

General Nonlinearity

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Coupled-mode envelope solitary waves in a pair of cubic Schrödinger equations with cross modulation: Analytical solution and collisions with application to Rossby waves

Chaos Solitons & Fractals ◽

10.1016/s0960-0779(99)00016-8 ◽

2000 ◽

Vol 11 (7) ◽

pp. 1113-1129 ◽

Cited By ~ 18

Author(s):

Benkui Tan ◽

John P. Boyd

Keyword(s):

Analytical Solution ◽

Solitary Waves ◽

Rossby Waves ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Mode ◽

Cross Modulation

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Classification of the solitary waves in coupled nonlinear Schrödinger equations

Physica D Nonlinear Phenomena ◽

10.1016/s0167-2789(97)82007-6 ◽

1997 ◽

Vol 108 (1-2) ◽

pp. 92-112 ◽

Cited By ~ 71

Author(s):

Jianke Yang

Keyword(s):

Solitary Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Solitary Waves for Quasilinear Schrödinger Equations Arising in Plasma Physics

Advanced Nonlinear Studies ◽

10.1515/ans-2009-0303 ◽

2009 ◽

Vol 9 (3) ◽

Cited By ~ 1

Author(s):

João Marcos do Ó ◽

Abbas Moameni

Keyword(s):

Schrödinger Equation ◽

Plasma Physics ◽

Solitary Waves ◽

Schrodinger Equation ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Quasilinear Schrödinger Equation

AbstractWe study the quasilinear Schrödinger equationizwhere W : ℝ

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Three-dimensional spatiotemporal vector solitary waves in coupled nonlinear Schrödinger equations with variable coefficients

Journal of the Optical Society of America B ◽

10.1364/josab.30.000113 ◽

2012 ◽

Vol 30 (1) ◽

pp. 113 ◽

Cited By ~ 17

Author(s):

Si-Liu Xu ◽

Milivoj R. Belić ◽

Wei-Ping Zhong

Keyword(s):

Solitary Waves ◽

Three Dimensional ◽

Variable Coefficients ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Singularly Perturbed Vector and Scalar Nonlinear Schrödinger Equations with Persistent Homoclinic Orbits

Studies in Applied Mathematics ◽

10.1111/1467-9590.00002 ◽

2002 ◽

Vol 109 (1) ◽

pp. 19-38 ◽

Cited By ~ 12

Author(s):

Yanguang (Charles) Li

Keyword(s):

Homoclinic Orbits ◽

Nonlinear Schrödinger Equations ◽

Singularly Perturbed ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Existence of positive ground state solutions for fractional Schrödinger equations with a general nonlinearity

Applicable Analysis ◽

10.1080/00036811.2017.1307963 ◽

2017 ◽

Vol 97 (7) ◽

pp. 1154-1171 ◽

Cited By ~ 1

Author(s):

Zhisu Liu ◽

Zigen Ouyang

Keyword(s):

Ground State ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Ground State Solutions ◽

Fractional Schrödinger Equations ◽

General Nonlinearity

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On solitary waves for nonlinear schrödinger equations in higher dimensions

Applicable Analysis ◽

10.1080/00036818608839619 ◽

1986 ◽

Vol 22 (3-4) ◽

pp. 213-225 ◽

Cited By ~ 2

Author(s):

Ludger Brüll

Keyword(s):

Solitary Waves ◽

Higher Dimensions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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