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

作　　者：刘萍 李子良 楼森岳 

机构地区：[1]Department of Electronic Engineering,University of Electronic Science and Technology of China Zhongshan Institute [2]Department of Marine Meteorology,Ocean University of China [3]Department of Physics,Shanghai Jiao Tong University [4]Faculty of Science,Ningbo University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第11期1383-1404,共22页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 10735030and 40775069);the Natural Science Foundation of Guangdong Province of China(No. 10452840301004616);the Scientific Research Foundation for the Doctors of University of Electronic Science and Technology of China Zhongshan Institute (No. 408YKQ09)

摘　　要：The Painleve 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 Painleve 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.The Painleve 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 Painleve 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.

关 键 词：coupled nonlinear SchrSdinger equation Painleve property exact solution atmospheric gravity wave 

分 类 号：P431[天文地球—大气科学及气象学]