On the asymptotic stability of localized modes in the discrete nonlinear Schrödinger equation

DOI10.3934/DCDSS.2012.5.971zbMath1260.37047OpenAlexW2314327974MaRDI QIDQ450768

Tetsu Mizumachi, Dmitry E. Pelinovsky

Publication date: 14 September 2012

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2012.5.971

zbMATH Keywords

asymptotic stabilitydiscrete nonlinear Schrödinger equationdispersive decaylocalised modes

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60)

Related Items (8)

Scattering and inverse scattering for nonlinear quantum walks ⋮ Asymptotic stability of small bound state of nonlinear quantum walks ⋮ Asymptotic stability of breathers in some Hamiltonian networks of weakly coupled oscillators ⋮ Multibreathers in Klein-Gordon chains with interactions beyond nearest neighbors ⋮ Existence and Asymptotic Stability of Quasi-Periodic Solutions of Discrete NLS with Potential ⋮ Asymptotic stability of soliton for discrete nonlinear Schrödinger equation on one-dimensional lattice ⋮ Stabilization of small solutions of discrete NLS with potential having two eigenvalues ⋮ Dispersive estimates for quantum walks on 1D lattice

This page was built for publication: On the asymptotic stability of localized modes in the discrete nonlinear Schrödinger equation