Stability and instability of traveling solitonic bubbles.

From MaRDI portal
Publication:1405972

zbMath1033.35117MaRDI QIDQ1405972

Zhiwu Lin

Publication date: 8 September 2003

Published in: Advances in Differential Equations (Search for Journal in Brave)




Related Items (24)

Stability of traveling waves of nonlinear Schrödinger equation with nonzero condition at infinitySolitary waves of a coupled KdV system with a weak rotationAsymptotic stability of the black soliton for the Gross–Pitaevskii equationLogarithmic Gross-Pitaevskii equationExistence of nonstationary bubbles in higher dimensions.Numerical computation of dark solitons of a nonlocal nonlinear Schrödinger equationStability of solitary waves for the generalized higher-order Boussinesq equationSmall energy traveling waves for the Euler–Korteweg systemConserved energies for the one dimensional Gross-Pitaevskii equation: low regularity caseRarefaction pulses for the nonlinear Schrödinger equation in the transonic limitTraveling waves for nonlinear Schrödinger equations with nonzero conditions at infinityConserved energies for the one dimensional Gross-Pitaevskii equationAn instability criterion for nonlinear standing waves on nonzero backgroundsStability in the energy space for chains of solitons of the one-dimensional Gross-Pitaevskii equationInstability of nonlinear dispersive solitary wavesOn the Cauchy Problem and the Black Solitons of a Singularly Perturbed Gross--Pitaevskii EquationEvans functions and bifurcations of nonlinear waves of some nonlinear reaction diffusion equationsGlobal existence and collisions for symmetric configurations of nearly parallel vortex filamentsIST Versus PDE: A Comparative StudyTraveling waves for some nonlocal 1D Gross-Pitaevskii equations with nonzero conditions at infinityTravelling waves for the nonlinear Schrödinger equation with general nonlinearity in dimension twoOrbital stability of traveling waves for the one-dimensional Gross-Pitaevskii equationRegularity of nonvanishing – at infinity or at the boundary – solutions of the defocusing nonlinear Schrödinger equationAbout plane periodic waves of the nonlinear Schrödinger equations




This page was built for publication: Stability and instability of traveling solitonic bubbles.