【摘要】 利用摄动法对NLS方程和Zakharov方程作展开.应用Jacobi椭圆函数展开法求得了零级近似方程的准确解,并在Lamé方程和Lamé函数的基础上分别求得一级近似方程和二级近似方程的准确解.这样,就求得此类非线性演化方程的多级准确解.更多还原

【Abstract】 The perturbation method is applied to the multi-order exact solutions of nonlinear evolution equations.The exact solutions to the zeroth-order equation can be derived by Jacobi elliptic function expansion method ,and then the first-order and the second-order equations can be solved by using Lamé equation and Lamé functions.Thus,the multi-order exact solutions are obtained to the nonlinear evolution equations.更多还原