非线性离散的mKdV Lattice方程的Jacobi椭圆函数解

Jacobi Elliptic Function Solutions to the Nonlinear Discrete mKdV Lattice Equation

本文基于椭圆函数展开法,引入三个Jacobi椭圆函数分式形式的函数并将其应用于非线性离散的mKdV lattice方程,得到该方程一些椭圆函数精确解及退化后的双曲函数解和三角函数解。

Based on Jacobi elliptic function expansion method,three Jacobi elliptic functions by fractional form are introduced and applied to obtain a number of Jacobi elliptic function exact solutions,and degenerate hyperbolic function solutions and trigonometric functions solutions of the nonlinear discrete mKdV lattice equation with the aid of symbolic computation system Maple.