Finite-dimensional behavior of global attractors for weakly damped and forced kdv equations coupling with nonlinear schrödinger equations

DOI10.1016/S0362-546X(96)00061-2zbMath0880.35106OpenAlexW2149494903MaRDI QIDQ4346018

Publication date: 28 January 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00061-2

zbMATH Keywords

global attractor nonlinear Schrödinger equation dynamical system Hausdorff dimensions long time behaviour of solutions weakly damped KdV equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Attractors of solutions to ordinary differential equations (34D45)

Related Items (6)

High-order compact finite difference scheme with two conserving invariants for the coupled nonlinear Schrödinger–KdV equations ⋮ The finite element method for the coupled Schrödinger-KdV equations ⋮ A conservative compact finite difference scheme for the coupled Schrödinger-KdV equations ⋮ Numerical studies on a novel split-step quadratic B-spline finite element method for the coupled Schrödinger-KdV equations ⋮ Recurrent solutions of the Schrödinger-KdV system with boundary forces ⋮ Attractor for nonlinear Schrödinger equation coupling with stochastic weakly damped, forced KdV equation

Cites Work

This page was built for publication: Finite-dimensional behavior of global attractors for weakly damped and forced kdv equations coupling with nonlinear schrödinger equations