Abstract:

We used the lattice Boltzmann method to study the coupled Kortewegde Vries equations. We constructed a lattice Boltzmann model for the coupled Kortewegde Vries equations, and performed numerical experiments. Comparing the lattice Boltzmann solution with other numerical solutions, we obtained that the lattice Boltzmann method is an effective method for simulating the coupled Kortewegde Vries equations.

Key words: coupled Kortewegde Vries equations； , lattice Boltzmann method； ChapmanEnskog analysis