A Lattice Boltzmann Model and Simulation of KdV-Burgers Equation

DOI10.1088/0253-6102/42/2/281zbMath1167.37371OpenAlexW1519781192MaRDI QIDQ5321370

Hui-Li Tan, Muren Liu, Lingjiang Kong, Chaoying Zhang

Publication date: 22 July 2009

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/42/2/281

zbMATH Keywords

KdV-Burgers equationsolitary-wave solutionlattice Boltzmann modeltraveling-wave solutionsock-wave solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Lattice dynamics; integrable lattice equations (37K60)

Related Items (7)

Meshless method of lines for the numerical solution of generalized Kuramoto-Sivashinsky equation ⋮ Application of lattice Boltzmann method to image filtering ⋮ General propagation lattice Boltzmann model for a variable-coefficient compound KdV-Burgers equation ⋮ A novel lattice Boltzmann model for the Poisson equation ⋮ A unified lattice Boltzmann model for some nonlinear partial differential equations ⋮ Lattice Boltzmann model for a generalized Gardner equation with time-dependent variable coefficients ⋮ Generalized finite spectral method for 1D Burgers and KdV equations

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