基于Lame函数的非线性演化方程的新多级准确解

摘要

Based on the Lamé equations and Lamé functions, the perturbation method and Jacobi elliptic function expansion method are applied to get the multi-order exact solutions of the nonlinear evolution equations, where some new multi-order exact solutions are found among the nonlinear evolution equations. These multi-order exact solutions can degenerate into the different solitary solutions.%基于Larné方程和新的Lamé函数,应用摄动方法和Jacobi椭圆函数展开法求解非线性演化方程,获得多种新的多级准确解.这些解在极限条件下可以退化为多种形式的孤立波解.