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

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

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 ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Stability Of Solitary Waves

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 ◽

Cited By ~ 2

Author(s):

Eva Koo

Keyword(s):

Asymptotic Stability ◽

Solitary Waves ◽

Schrodinger Equations ◽

Electromagnetic Potential ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

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

Asymptotic stability of solitary waves for nonlinear Schrödinger equations

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 ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Stability Of Solitary Waves

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 ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Strong Instability ◽

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 ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Subcritical Case ◽

Nonlinear Schrödinger ◽

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 ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

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 ◽

Cited By ~ 12

Author(s):

Lucas C.F. Ferreira ◽

Elder J. Villamizar-Roa

Keyword(s):

Asymptotic Stability ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

High Dimensions ◽

Self Similarity ◽

Nonlinear Schrödinger ◽

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 ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

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 ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

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 ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Spatially Inhomogeneous ◽