A LATTICE BGK MODEL FOR SIMULATING SOLITARY WAVES OF THE COMBINED KdV–MKDV EQUATION

DOI10.1142/S0217979211058067zbMath1226.82058MaRDI QIDQ3011023

Chang-Feng Ma

Publication date: 27 June 2011

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

zbMATH Keywords

convergencesolitary wavesnumerical simulationlattice Boltzmann equationBGK modelplasmasglobal errorKdV-mKdV equation

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Soliton equations (35Q51) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Statistical mechanics of gases (82D05) Lattice dynamics; integrable lattice equations (37K60)

Related Items (1)

Lattice Boltzmann model for a generalized Gardner equation with time-dependent variable coefficients

Cites Work

• Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics
• A unified lattice Boltzmann model for some nonlinear partial differential equations
• LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
• Lattice BGK model for incompressible Navier-Stokes equation

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