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

被引：0
作者：
Ping Liu
Zi-liang Li
Sen-yue Lou
机构：
[1] University of Electronic Science and Technology of China Zhongshan Institute,Department of Electronic Engineering
[2] Ocean University of China,Department of Marine Meteorology
[3] Shanghai Jiao Tong University,Department of Physics
[4] Ningbo University,Faculty of Science
来源：
Applied Mathematics and Mechanics | 2010年 / 31卷
关键词：
coupled nonlinear Schrödinger equation; Painlevé property; exact solution; atmospheric gravity wave; P431; 86A10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The Painlevé integrability and exact solutions to a coupled nonlinear Schrödinger (CNLS) equation applied in atmospheric dynamics are discussed. Some parametric restrictions of the CNLS equation are given to pass the Painlevé 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.
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页码：1383 / 1404
页数：21
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