非线性薛定谔方程的新多级包络周期解

肖亚峰; 薛海丽

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非线性薛定谔方程的新多级包络周期解

更新时间：2026-09-14

- 非线性薛定谔方程的新多级包络周期解
- 非线性薛定谔方程的新多级包络周期解
- Issue 1, (2013)
- 作者机构：
  
  1. 中北大学理学院
  2. 中北大学软件学院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2013
- 稿件说明：
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肖亚峰, 薛海丽. 非线性薛定谔方程的新多级包络周期解[J]. 2013, (1).
DOI：

肖亚峰, 薛海丽. 非线性薛定谔方程的新多级包络周期解[J]. 2013, (1). DOI：

摘要

基于Lam·方程和新的Lam·函数

应用摄动方法和Jacobi椭圆函数展开法研究非线性薛定谔方程

获得多种新的多级准确解.这些解对应着不同的形式的包络周期解.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Lam·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.

Abstract

Based on the Lam· equation and Lam· functions

the perturbation method and Jacobi elliptic function expansion method were applied to construct the multi-order exact solutions to the nonlinear Schrdinger equation.Some new multi-order envelope periodic solutions were found among the nonlinear evolution equation.These multi-order envelope periodic solutions correspond to different periodic solutions

which can degenerate into the different envelope solitary solutions.It is shown that some multi-order asymptotic periodic solutions to some nonlinear evolution equations in term of Jacobi elliptic functions and Lam· equations are explicitly obtained with the aid of symbolic computation.

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