Exponential attractor for the generalized symmetric regularized long wave equation with damping term

DOI10.1007/BF02440077zbMath1144.76304OpenAlexW2318131963MaRDI QIDQ939799

Yadong Shang, Bo-ling Guo

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02440077

zbMATH Keywords

asymptotic behaviorexponential attractorsqueezing propertysymmetric regularized long wave equation

Mathematics Subject Classification ID

Attractors (35B41) KdV equations (Korteweg-de Vries equations) (35Q53) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

Related Items (6)

A dissipative finite difference Fourier pseudo-spectral method for the symmetric regularized long wave equation with damping mechanism ⋮ Coupled and decoupled high‐order accurate dissipative finite difference schemes for the dissipative generalized symmetric regularized long wave equations ⋮ A linear difference scheme for dissipative symmetric regularized long wave equations with damping term ⋮ Mixed finite element analysis for dissipative SRLW equations with damping term ⋮ A new energy conservative scheme for regularized long wave equation. ⋮ C-N difference schemes for dissipative symmetric regularized long wave equations with damping term

Cites Work

• Decay of solutions of some nonlinear wave equations
• On the decay of solutions of the generalized Benjamin-Bona-Mahony equation
• Regular attractors of semigroups and evolution equations
• Stability and instability of solitary waves for generalized symmetric regularized-long-wave equations
• Finite dimensional behavior for the dissipative generalized symmetric regularized long wave equations
• A symmetric regularized-long-wave equation
• New similarity reductions and Painleve analysis for the symmetric regularised long wave and modified Benjamin-Bona-Mahoney equations
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