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立方非线性薛定谔方程的新多级包络周期解

, PP. 269-278

Keywords: 非线性方程,多级包络周期解,摄动方法,Lame方程,Jacobi椭圆函数,立方非线性薛定谔方程

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Abstract:

基于Lame方程和新的Lame函数,应用摄动方法和Jacobi椭圆函数展开法求解立方非线性薛定谔方程,获得多种新的多级准确解。这些解对应着不同形式的包络周期解。这些解在极限条件下可以退化为各种形式的包络孤波解。这表明利用Jacobi椭圆函数和Lamé方程,在符号计算的帮助下,可获得若干非线性发展方程的多级渐进周期解。

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