Attractors for fully discrete finite difference scheme of dissipative Zakharov equations

DOI10.1016/S0252-9602(12)60190-8zbMath1289.65198MaRDI QIDQ376894

Fayong Zhang, Bo-ling Guo

Publication date: 19 November 2013

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

stabilityfinite difference methodglobal attractorerror boundsdynamical systemdissipative Zakharov equations

Mathematics Subject Classification ID

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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs in connection with quantum mechanics (35Q40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (4)

An efficient Jacobi pseudospectral approximation for nonlinear complex generalized Zakharov system ⋮ Equi-attraction and backward compactness of pullback attractors for point-dissipative Ginzburg-Landau equations ⋮ A conservative compact difference scheme for the Zakharov equations in one space dimension ⋮ Fourier spectral approximation to global attractor for 2D convective Cahn-Hilliard equation

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