Asymptotic stability of solitons to 1D nonlinear Schrödinger equations in subcritical case

Frontiers of Mathematics in China ◽

10.1007/s11464-020-0857-6 ◽

2020 ◽

Vol 15 (5) ◽

pp. 923-957

Author(s):

Ze Li

Keyword(s):

Asymptotic Stability ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Subcritical Case ◽

Nonlinear Schrödinger ◽

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 ◽

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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Self-similarity and asymptotic stability for coupled nonlinear Schrödinger equations in high dimensions

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2011.11.006 ◽

2012 ◽

Vol 241 (5) ◽

pp. 534-542 ◽

Author(s):

Lucas C.F. Ferreira ◽

Elder J. Villamizar-Roa

Keyword(s):

Asymptotic Stability ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

High Dimensions ◽

Self Similarity ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Asymptotic stability of small solitary waves for nonlinear Schrödinger equations with electromagnetic potential in R3

Journal of Differential Equations ◽

10.1016/j.jde.2010.12.011 ◽

2011 ◽

Vol 250 (8) ◽

pp. 3473-3503 ◽

Author(s):

Eva Koo

Keyword(s):

Asymptotic Stability ◽

Solitary Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Electromagnetic Potential ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Asymptotic stability of small solitary waves to 1D nonlinear Schrödinger equations with potential

Journal of Mathematics of Kyoto University ◽

10.1215/kjm/1250271380 ◽

2008 ◽

Vol 48 (3) ◽

pp. 471-497 ◽

Author(s):

Tetsu Mizumachi

Keyword(s):

Asymptotic Stability ◽

Solitary Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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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 ◽

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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Asymptotic stability of multi-soliton solutions for nonlinear Schrödinger equations with time-dependent potential

Journal of Mathematical Physics ◽

10.1063/1.5144330 ◽

2020 ◽

Vol 61 (4) ◽

pp. 041504

Author(s):

Qingquan Deng ◽

Xiaohua Yao

Keyword(s):

Asymptotic Stability ◽

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Time Dependent ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Dependent Potential

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Asymptotic stability of small solitons for 2D Nonlinear Schrödinger equations with potential

Journal of Mathematics of Kyoto University ◽

10.1215/kjm/1250281026 ◽

2007 ◽

Vol 47 (3) ◽

pp. 599-620 ◽

Author(s):

Tetsu Mizumachi

Keyword(s):

Asymptotic Stability ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2020316 ◽

2019 ◽

Vol 0 (0) ◽

pp. 0-0

Author(s):

Andrew Comech ◽

◽

Scipio Cuccagna ◽

Keyword(s):

Asymptotic Stability ◽

Ground States ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Asymptotic Stability of Multi-soliton Solutions for Nonlinear Schrödinger Equations

Communications in Partial Differential Equations ◽

10.1081/pde-200033754 ◽

2004 ◽

Vol 29 (7-8) ◽

pp. 1051-1095 ◽

Author(s):

Galina Perelman

Keyword(s):

Asymptotic Stability ◽

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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A survey on asymptotic stability of ground states of nonlinear Schrödinger equations II

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2020450 ◽

2018 ◽

Vol 0 (0) ◽

pp. 0-0

Author(s):

Scipio Cuccagna ◽

◽

Masaya Maeda ◽

Keyword(s):

Asymptotic Stability ◽

Ground States ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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