Finite dimensional global attractor for a semi-discrete nonlinear Schrödinger equation with a point defect
DOI10.1016/j.amc.2011.02.096zbMath1229.65169OpenAlexW1998588914MaRDI QIDQ544090
Wided Kechiche, Emna Ezzoug, Ezzeddine Zahrouni
Publication date: 14 June 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.02.096
global attractornonlinear Schrödinger equationCrank-Nicolson schemesplitting methodsemi-discrete schemediscrete infinite dynamical system
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
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