Existence and stability of a two-parameter family of solitary waves for an NLS-KdV system
From MaRDI portal
Publication:378927
zbMath1290.35219arXiv1212.3902MaRDI QIDQ378927
Santosh Bhattarai, John P. Albert
Publication date: 12 November 2013
Published in: Advances in Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.3902
Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Variational methods applied to PDEs (35A15) Solitary waves for incompressible inviscid fluids (76B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Traveling wave solutions (35C07) Soliton solutions (35C08)
Related Items (27)
On fractional Schrödinger systems of Choquard type ⋮ Ground states of some coupled nonlocal fractional dispersive PDEs ⋮ Normalized solutions to the Chern-Simons-Schrödinger system ⋮ Well-posedness for multicomponent Schrödinger-gKdV systems and stability of solitary waves with prescribed mass ⋮ On the existence of bound and ground states for some coupled nonlinear Schrödinger-Korteweg-de Vries equations ⋮ Existence and orbital stability of standing waves to nonlinear Schrödinger system with partial confinement ⋮ Stability of normalized solitary waves for three coupled nonlinear Schrödinger equations ⋮ Orbital stability of standing waves for a system of nonlinear Schrödinger equations with three wave interaction ⋮ Existence and dynamics of normalized solutions to nonlinear Schrödinger equations with mixed fractional Laplacians ⋮ Standing waves with prescribed \(L^2\)-norm to nonlinear Schrödinger equations with combined inhomogeneous nonlinearities ⋮ Unnamed Item ⋮ Some models for the interaction of long and short waves in dispersive media. I: Derivation ⋮ Existence and stability of standing waves for coupled nonlinear Hartree type equations ⋮ Stability of standing waves for the fractional Schrödinger-Choquard equation ⋮ Existence of the normalized solutions to the nonlocal elliptic system with partial confinement ⋮ Existence and stability of a two-parameter family of solitary waves for a 2-coupled nonlinear Schrödinger system ⋮ Existence and stability of vector solitary waves for nonlinear Schrödinger systems of Hartree-type with Bessel potential ⋮ Existence of travelling-wave solutions to a coupled system of Korteweg-de Vries equations ⋮ Existence and stability of a two-parameter family of solitary waves for a logarithmic NLS-KdV system ⋮ Ground state solutions for a non-autonomous nonlinear Schrödinger-KdV system ⋮ Existence, stability of standing waves and the characterization of finite time blow-up solutions for a system NLS with quadratic interaction ⋮ On the nonintegrability of equations for long- and short-wave interactions ⋮ A complete classification of ground-states for a coupled nonlinear Schrödinger system ⋮ Existence and orbital stability of standing waves for nonlinear Schrödinger systems ⋮ On Long Time Behavior of Solutions of the Schrödinger--Korteweg--de Vries System ⋮ Existence of generalized solitary wave solutions of the coupled KdV-CKdV system ⋮ The compactness of minimizing sequences for a nonlinear Schrödinger system with potentials
This page was built for publication: Existence and stability of a two-parameter family of solitary waves for an NLS-KdV system
