非线性差分-微分方程的Jacobi椭圆函数解

Jacobi elliptic function solutions to the nonlinear difference-differential equations

基于椭圆函数展开法和tanh函数法,引入构造非线性离散系统行波解的方法,并给出了离散mKdVlattice方程和(2+1)-维Hybrid lattice方程的一些新的椭圆函数解.

Based on Jacobi elliptic function expansion method and the tanh function method, a method for constructing traveling wave solutions to nonlinear discrete systems is proposed. By using the method, the new Jacobi elliptic function solutions to the discrete mKdV lattice equation and （2＋ 1）-dimensional Hybrid lattice equation are obtained.