Failure of scattering to solitary waves for long-range nonlinear Schrödinger equations

Jason Murphy;  ; Kenji Nakanishi;

doi:10.3934/dcds.2020328

Failure of scattering to solitary waves for long-range nonlinear Schrödinger equations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2020328 ◽

2019 ◽

Vol 0 (0) ◽

pp. 0-0

Author(s):

Jason Murphy ◽

◽

Kenji Nakanishi ◽

Keyword(s):

Long Range ◽

Solitary Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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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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Long Range Scattering for Nonlinear Schrödinger Equations with Critical Homogeneous Nonlinearity

SIAM Journal on Mathematical Analysis ◽

10.1137/17m1144829 ◽

2018 ◽

Vol 50 (3) ◽

pp. 3251-3270 ◽

Cited By ~ 2

Author(s):

Satoshi Masaki ◽

Hayato Miyazaki

Keyword(s):

Long Range ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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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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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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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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Solitary waves in coupled nonlinear Schrödinger equations with spatially inhomogeneous nonlinearities

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2010.02.024 ◽

2011 ◽

Vol 16 (1) ◽

pp. 158-172 ◽

Cited By ~ 22

Author(s):

Juan Belmonte-Beitia ◽

Víctor M. Pérez-García ◽

Valeriy Brazhnyi

Keyword(s):

Solitary Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Spatially Inhomogeneous ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Stability in $H^1$ solitary waves for some nonlinear Schrödinger equations

Duke Mathematical Journal ◽

10.1215/s0012-7094-06-13331-8 ◽

2006 ◽

Vol 133 (3) ◽

pp. 405-466 ◽

Cited By ~ 43

Author(s):

Yvan Martel ◽

Frank Merle ◽

Tai-Peng Tsai

Keyword(s):

Solitary Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Classification of the solitary waves in coupled nonlinear Schrödinger equations

Physica D Nonlinear Phenomena ◽

10.1016/s0167-2789(97)00035-3 ◽

1997 ◽

Vol 108 (1-2) ◽

pp. 92-112 ◽

Cited By ~ 6

Author(s):

Y Jianke

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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Stability switching at transcritical bifurcations of solitary waves in generalized nonlinear Schrödinger equations

Physics Letters A ◽

10.1016/j.physleta.2013.02.024 ◽

2013 ◽

Vol 377 (12) ◽

pp. 866-870 ◽

Cited By ~ 3

Author(s):

Jianke Yang

Keyword(s):

Solitary Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Transcritical Bifurcations

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