Nonlinear Schrödinger equations with magnetic field effect: Existence and stability of solitary waves

Integrable Systems and Applications - Lecture Notes in Physics ◽

10.1007/bfb0035681 ◽

2006 ◽

pp. 336-342

Author(s):

Joachim Stubbe ◽

Luis Vázquez

Keyword(s):

Magnetic Field ◽

Solitary Waves ◽

Field Effect ◽

Magnetic Field Effect ◽

Nonlinear Schrödinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Existence And Stability ◽

Stability Of Solitary Waves

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

Stability of solitary waves for coupled nonlinear schrödinger equations

Nonlinear Analysis ◽

10.1016/0362-546x(94)00340-8 ◽

1996 ◽

Vol 26 (5) ◽

pp. 933-939 ◽

Cited By ~ 27

Author(s):

Masahito Ohta

Keyword(s):

Solitary Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Stability Of Solitary Waves

Download Full-text

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

Download Full-text

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

Download Full-text