Generalized homoclinic solutions of a coupled Schrödinger system under a small perturbation
type: Item
instance of: scholarly article
title: Generalized homoclinic solutions of a coupled Schrödinger system under a small perturbation
zbMATH Open document ID: 1257.35155
author: Shengfu Deng
author: Boling Guo
published in: Journal of Dynamics and Differential Equations
publication date: 2013-01-30T00:00:00Z
Mathematics Subject Classification ID: 35Q41
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 6132845
zbMATH Keywords: coupled Schrödinger system
zbMATH Keywords: homoclinic solutions
zbMATH Keywords: periodic solutions
zbMATH Keywords: reversibility
MaRDI profile type: Publication
full work available at URL: s10884-012-9274-1
OpenAlex ID: W2049037251
cites work: Bound and ground states of coupled nonlinear Schrödinger equations
cites work: Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
cites work: Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres. I
cites work: Multiplicity results for some nonlinear Schrödinger equations with potentials
cites work: Q3630719
cites work: Solitary waves for linearly coupled nonlinear Schrödinger equations with inhomogeneous coefficients
cites work: Homoclinic orbit to a center manifold
cites work: The three-dimensional wigner-poisson problem: Existence, uniqueness and approximation
cites work: Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics
cites work: Homoclinic orbits in reversible systems. II: Multi-bumps and saddle-centres
cites work: Cascades of homoclinic orbits to a saddle-centre for reversible and perturbed Hamiltonian systems
cites work: Embedded solitons: Solitary waves in resonance with the linear spectrum
cites work: Multi-peak periodic semiclassical states for a class of nonlinear Schrödinger equations
cites work: Q5848416
cites work: Q3729391
cites work: Three-dimensional gravity-capillary waves on water -- small surface tension case
cites work: Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
cites work: A spatial dynamics approach to three-dimensional gravity-capillary steady water waves
cites work: Bifurcation theory. An introduction with applications of PDEs
cites work: Q3978425
cites work: Solitary and self-similar solutions of two-component system of nonlinear Schrödinger equations
cites work: Half-Skyrmions and spike-vortex solutions of two-component nonlinear Schrödinger systems
cites work: Positive solutions for a weakly coupled nonlinear Schrödinger system
cites work: Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle- center
cites work: Existence and bounds of positive solutions for a nonlinear Schrödinger system
cites work: Uniform Hölder Bounds for Nonlinear Schrödinger Systems with Strong Competition
cites work: On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
cites work: Homoclinic orbits to a saddle-center in a fourth-order differential equation
cites work: Irregular dynamics and homoclinic orbits to Hamiltonian saddle centers
cites work: Orbits homoclinic to centre manifolds of conservative PDEs
cites work: Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
cites work: The nonlinear Schrödinger equation. Self-focusing and wave collapse
cites work: When gap solitons become embedded solitons: A generic unfolding
cites work: Q5659897
cites work: Homoclinic and heteroclinic orbits to invariant tori in multi-degree-of-freedom Hamiltonian systems with saddle-centres
cites work: Dynamics of Embedded Solitons in the Extended Korteweg–de Vries Equations
cites work: Homoclinic solutions to invariant tori in a center manifold
cites work: Multibump solutions homoclinic to periodic orbits of large energy in a centre manifold
cites work: Existence of homoclinic solutions to periodic orbits in a center manifold
DOI: 10.1007/S10884-012-9274-1
description: scientific article; zbMATH DE number 6132845