Recovery of the Solitons Using a Lattice Boltzmann Model
YAN Guang-wu1,2, SONG Min3
1Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080
2Department of Mathematics, Jilin University, Changchun 130023
3Division of Foundation, Jilin Province Architect College, Changchun 130053
Recovery of the Solitons Using a Lattice Boltzmann Model
YAN Guang-wu1,2;SONG Min3
1Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080
2Department of Mathematics, Jilin University, Changchun 130023
3Division of Foundation, Jilin Province Architect College, Changchun 130053
Abstract： We formulate a lattice Boltzmann model which simulates Korteweg-de Vries equation by using a method of higher moments of lattice Boltzmann equation. Using a series of lattice Boltzmann equations in different time scales and the conservation law in time scale t0, we obtain equilibrium distribution function. The numerical examples show that the method can be used to simulate soliton.
YAN Guang-wu;SONG Min. Recovery of the Solitons Using a Lattice Boltzmann Model[J]. 中国物理快报, 1999, 16(2): 109-110.
YAN Guang-wu, SONG Min. Recovery of the Solitons Using a Lattice Boltzmann Model. Chin. Phys. Lett., 1999, 16(2): 109-110.
1999, Vol. 16 
