Simulation of instability of bright solitons for NLS with saturating nonlinearity

DOI10.1016/S0378-4754(01)00323-8zbMath0972.78019OpenAlexW1995050589MaRDI QIDQ5939189

Valery E. Grikurov, Vladimir S. Buslaev

Publication date: 22 November 2001

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(01)00323-8

zbMATH Keywords

solitongeneralized 1+1 nonlinear Schrödinger equationlaser propagationnonlinear optic materials

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items

Revisiting asymptotic stability of solitons of nonlinear Schrödinger equations via refined profile method ⋮ On a parameter-stability for normalized ground states of two-dimensional cubic-quintic nonlinear Schrödinger equations ⋮ On the mathematical work of Vladimir Savel′evich Buslaev ⋮ On ground state (in-)stability in multi-dimensional cubic-quintic Schrödinger equations ⋮ A system of ODEs for a perturbation of a minimal mass soliton ⋮ On the sharp scattering threshold for the mass-energy double critical nonlinear Schrödinger equation via double track profile decomposition ⋮ 1-soliton solution of (1+2)-dimensional nonlinear Schrödinger's equation in dual-power law media ⋮ Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on \({\mathbb{R}^3}\) ⋮ Optical solitons in a power law media with fourth order dispersion ⋮ Optical solitons in a parabolic law media with fourth order dispersion ⋮ Long time oscillation of solutions of nonlinear Schrödinger equations near minimal mass ground state ⋮ A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II ⋮ Solitons in magneto-optic waveguides

Cites Work

• Unnamed Item
• Focusing and multi-focusing solutions of the nonlinear Schrödinger equation
• Radiative effects to the adiabatic dynamics of envelope-wave solitons
• Existence of solitary waves in higher dimensions
• On the stability of solitary-wave solutions of model equations for long waves
• Internal modes of envelope solitons