Long time behavior of solutions of gKdV equations

DOI10.1016/j.jmaa.2012.01.031zbMath1234.35233OpenAlexW2049028344MaRDI QIDQ408263

Dongfang Li, Yanbin Tang, Ming Wang, Cheng-Jian Zhang

Publication date: 29 March 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.01.031

zbMATH Keywords

numerical experimentsglobal attractorlong time behaviorgKdV equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (17)

SAV Galerkin-Legendre spectral method for the nonlinear Schrödinger-possion equations ⋮ Higher regularity of global attractors of a weakly dissipative fractional Korteweg de Vries equation ⋮ Robustness of exponential attractors for damped Korteweg-de Vries equations ⋮ Long time dynamics for a damped Benjamin-Bona-Mahony equation in low regularity spaces ⋮ Symmetric and symplectic exponential integrators for nonlinear Hamiltonian systems ⋮ GLOBAL ATTRACTOR FOR WEAKLY DAMPED, FORCED mKdV EQUATION BELOW ENERGY SPACE ⋮ The continuous Galerkin finite element methods for linear neutral delay differential equations ⋮ A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations ⋮ Global attractor for weakly damped gKdV equations in higher Sobolev spaces ⋮ Long time dynamics of 2D quasi-geostrophic equations with damping in \(L^p\) ⋮ Several effective algorithms for nonlinear time fractional models ⋮ A simple and robust boundary treatment for the forced Korteweg-de Vries equation ⋮ Some notes on split Newton iterative algorithm ⋮ Global attractor for the periodic generalized Korteweg-de Vries equation through smoothing ⋮ Long time behavior of solutions to the damped forced generalized Ostrovsky equation below the energy space ⋮ Global attractor for weakly damped, forced mKdV equation in low regularity spaces ⋮ Solitons for the modified \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equations

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