Journal of Jishou University(Natural Sciences Edition) ›› 2022, Vol. 43 ›› Issue (3): 7-14.DOI: 10.13438/j.cnki.jdzk.2022.03.002

• Mathematics • Previous Articles     Next Articles

Lattice Boltzmann Model for Solving Nonlinear Coupled Long and Short Wave Equations

SONG Tongzheng,DAI Houping,FENG Shuting,WEI Xuedan   

  1. (College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)
  • Online:2022-05-25 Published:2022-09-06

Abstract: With Taylor expansion and Chapman-Enskog multi-scale expansion techniques,the equilibrium distribution functions and the correction functions are derived,and the two functions are introduced into the D1Q3 lattice Boltzmann model with two distribution functions.With this model,the initial-boundary value problem for a class of nonlinear coupled long-short wave equations is solved.For the plane wave and solitary wave solutions,the numerical simulation results verify the validity of the model for solving the nonlinear coupled initial-boundary value problems of the long-short wave equation.

Key words: long and short wave equations, lattice Boltzmann model, Taylor expansion, Chapman-Enskog multi-scale expansion

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