原子与分子物理学报2012，Vol.29Issue(1)：150-156,7.DOI:10.3969/j.issn.1000-0364.2012.01.027
非线性薛定谔方程的新多级包络周期解
New multi-order envelope periodic solutions to the nonlinear Schr(o)dinger equation
摘要
Abstract
Based on the Lame equation and Lame functions, the perturbation method and Jacobi elliptic function expansion method are applied to get the multi-order exact solutions of the nonlinear Schrodinger equation, where some new multi-order envelope periodic solutions are 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.关键词
多级包络周期解/Lamé函数/Jacobi椭圆函数展开法/摄动方法/非线性薛定谔方程Key words
multi-order envelope periodic solutions/ Lame function/ Jacobi elliptic function expansion method/ perturbation method/ nonlinear Schrodinger equation分类
数理科学引用本文复制引用
肖亚峰,薛海丽,张鸿庆..非线性薛定谔方程的新多级包络周期解[J].原子与分子物理学报,2012,29(1):150-156,7.基金项目
国家重点基础研究专项基金(2004CB318000) （2004CB318000）
国家自然科学基金青年基金(10901145) （10901145）
中北大学校基金资助项目 （）
