Stability and instability of solitary waves for one-dimensional singular Schrödinger equations
From MaRDI portal
Publication:1261645
zbMath0783.35071MaRDI QIDQ1261645
Kiril P. Kirchev, Iliya D. Iliev
Publication date: 4 October 1993
Published in: Differential and Integral Equations (Search for Journal in Brave)
stabilityLyapunov functionsolitary wavegeneralized nonlinear Schrödinger equationspectral decompositionsoliton solution
Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)
Related Items (19)
Stability and instability of standing waves for one dimensional nonlinear Schrödinger equations with double power nonlinearity ⋮ On the spectral stability of periodic waves of the coupled Schrödinger equations ⋮ Analysis of stability and instability for standing waves of the double power one dimensional nonlinear Schrödinger equation ⋮ On ground state (in-)stability in multi-dimensional cubic-quintic Schrödinger equations ⋮ On an intercritical log-modified nonlinear Schrödinger equation in two spatial dimensions ⋮ On ground states for the 2D Schrödinger equation with combined nonlinearities and harmonic potential ⋮ Asymptotic stability of solitary waves for the 1D near-cubic non-linear Schrödinger equation in the absence of internal modes ⋮ Stability and instability of standing-wave solutions to one-dimensional quadratic-cubic Klein-Gordon equations ⋮ Asymptotic stability of solitary waves for the 1D cubic-quintic Schrödinger equation with no internal mode ⋮ Instability of algebraic standing waves for nonlinear Schrödinger equations with triple power nonlinearities ⋮ Multiple normalized standing-wave solutions to the scalar non-linear Klein-Gordon equation with two competing powers ⋮ Stability of solitary waves for coupled nonlinear schrödinger equations ⋮ Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities ⋮ Orbital stability vs. scattering in the cubic-quintic Schrödinger equation ⋮ Stability of solitary waves for the Ostrovsky equation ⋮ Existence and stability of standing waves for one dimensional NLS with triple power nonlinearities ⋮ On the normalized ground states of second order PDE's with mixed power non-linearities ⋮ Stability of solitary waves for a system of nonlinear Schrödinger equations with three wave interaction ⋮ Stability of algebraic solitons for nonlinear Schrödinger equations of derivative type: variational approach
This page was built for publication: Stability and instability of solitary waves for one-dimensional singular Schrödinger equations