Lattice Boltzmann Method for the NLS-Boussinesq Equation

doi:10.13438/j.cnki.jdzk.2025.02.001

Abstract

Abstract: A lattice Boltzmann model with dual distribution functions is developed,and the evolution equations in the model are Taylor expanded.The Chapman-Enskog multiscale expansion technique is combined to derive the equilibrium distribution functions and correction functions and then to recover the nonlinear coupled NLS-Boussinesq equations

Key words: NLS-Boussinesq equations, lattice Boltzmann method, Taylor expansion, Chapman-Enskog multiscale expansion

DONG Yaru, DAI Houping, WANG Jing. Lattice Boltzmann Method for the NLS-Boussinesq Equation[J]. Journal of Jishou University(Natural Sciences Edition), 2025, 46(2): 1-9.

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