A class of coupled nonlinear Schrodinger equations: Painlev, property, exact solutions, and application to atmospheric gravity waves

被引：11
作者：
Liu, Ping [1 ]
Li, Zi-liang [2 ]
Lou, Sen-yue [3 ,4 ]
机构：
[1] Univ Elect Sci & Technol, China Zhongshan Inst, Dept Elect Engn, Zhongshan 528402, Guangdong, Peoples R China
[2] Ocean Univ China, Dept Marine Meteorol, Qingdao 266100, Shandong, Peoples R China
[3] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200240, Peoples R China
[4] Ningbo Univ, Fac Sci, Ningbo 315211, Zhejiang, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2010年 / 31卷 / 11期
基金：
中国国家自然科学基金;
关键词：
coupled nonlinear Schrodinger equation; Painleve property; exact solution; atmospheric gravity wave; PARTIAL-DIFFERENTIAL EQUATIONS; EVOLUTION-EQUATIONS; MODEL;
D O I：
10.1007/s10483-010-1370-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Painlev, integrability and exact solutions to a coupled nonlinear Schrodinger (CNLS) equation applied in atmospheric dynamics are discussed. Some parametric restrictions of the CNLS equation are given to pass the Painlev, test. Twenty periodic cnoidal wave solutions are obtained by applying the rational expansions of fundamental Jacobi elliptic functions. The exact solutions to the CNLS equation are used to explain the generation and propagation of atmospheric gravity waves.
引用
收藏
页码：1383 / 1404
页数：22
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