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

Download Full-text

Large time behavior in nonlinear Schrödinger equations with time dependent potential

Communications in Mathematical Sciences ◽

10.4310/cms.2015.v13.n2.a9 ◽

2015 ◽

Vol 13 (2) ◽

pp. 443-460 ◽

Author(s):

Rémi Carles ◽

Jorge Drumond Silva

Keyword(s):

Large Time Behavior ◽

Nonlinear Schrödinger Equations ◽

Time Dependent ◽

Schrodinger Equations ◽

Time Behavior ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Dependent Potential

Download Full-text

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

Download Full-text

Multi-soliton solutions of the N-component nonlinear Schrödinger equations via Riemann–Hilbert approach

Nonlinear Dynamics ◽

10.1007/s11071-021-06706-7 ◽

2021 ◽

Author(s):

Yan Li ◽

Jian Li ◽

Ruiqi Wang

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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 ◽

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

Exact Soliton Solutions, Shape Changing Collisions, and Partially Coherent Solitons in Coupled Nonlinear Schrödinger Equations

Physical Review Letters ◽

10.1103/physrevlett.86.5043 ◽

2001 ◽

Vol 86 (22) ◽

pp. 5043-5046 ◽

Author(s):

T. Kanna ◽

M. Lakshmanan

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Partially Coherent ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations ◽

Exact Soliton Solutions

Download Full-text

Persistent bright solitons in sign-indefinite coupled nonlinear Schrödinger equations with a time-dependent harmonic trap

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2015.06.026 ◽

2016 ◽

Vol 31 (1-3) ◽

pp. 30-39 ◽

Author(s):

R. Radha ◽

P.S. Vinayagam ◽

J.B. Sudharsan ◽

Boris A. Malomed

Keyword(s):

Harmonic Trap ◽

Nonlinear Schrödinger Equations ◽

Time Dependent ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Bright Solitons ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

Download Full-text

Multi-soliton solutions of coupled nonlinear Schrödinger Equations

Chinese Physics Letters ◽

10.1088/0256-307x/4/4/011 ◽

1987 ◽

Vol 4 (4) ◽

pp. 185-187 ◽

Author(s):

Yan Zhida

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

Download Full-text

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

Download Full-text

Exact quasi-soliton solutions and soliton interaction for the inhomogeneous coupled nonlinear Schrödinger equations

Journal of Modern Optics ◽

10.1080/09500340903531370 ◽

2010 ◽

Vol 57 (4) ◽

pp. 261-272 ◽

Author(s):

C.G. Latchio Tiofack ◽

Alidou Mohamadou ◽

Timoléon C. Kofané ◽

K. Porsezian

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Soliton Interaction ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

Download Full-text

Nonlocal nonlinear Schrödinger equations and their soliton solutions

Journal of Mathematical Physics ◽

10.1063/1.4997835 ◽

2018 ◽

Vol 59 (5) ◽

pp. 051501 ◽

Author(s):

Metin Gürses ◽

Aslı Pekcan

Keyword(s):

Soliton Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Nonlocal Nonlinear

Download Full-text