On a time discretization of a weakly damped forced nonlinear Schrödinger equation

DOI10.3934/CPAA.2008.7.1429zbMath1152.35493OpenAlexW2079943626MaRDI QIDQ2518217

Olivier Goubet, Ezzeddine Zahrouni

Publication date: 15 January 2009

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2008.7.1429

zbMATH Keywords

global attractorCrank-Nicolson schemenonlinear Schrödinger equations

Mathematics Subject Classification ID

Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (7)

Attractor of a semi-discrete Benjamin–Bona–Mahony equation on R¹ ⋮ Unnamed Item ⋮ Semi discrete weakly damped nonlinear Klein-Gordon Schrödinger system ⋮ Finite dimensional global attractor for a semi-discrete nonlinear Schrödinger equation with a point defect ⋮ The symbol approximation method: a numerical approach to the approximation of the symbol of self-adjoint operators ⋮ Damping, stabilization, and numerical filtering for the modeling and the simulation of time dependent PDEs ⋮ Global attractor for damped forced nonlinear logarithmic Schrödinger equations

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