Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (11): 1383-1404.doi: https://doi.org/10.1007/s10483-010-1370-6

• Articles • Previous Articles     Next Articles

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

LIU Ping1, LI Zi-Liang2, LOU Sen-Yue3,4   

  1. 1. Department of Electronic Engineering, University of Electronic Science and Technology of China Zhongshan Institute, Zhongshan 528402, Guangdong Province, P. R. China;
    2. Department of Marine Meteorology, Ocean University of China, Qingdao 266100, Shandong Province, P. R. China;
    3. Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, P. R. China; 4. Faculty of Science, Ningbo University, Ningbo 315211, Zhejiang Province, P. R. China
  • Received:2010-04-04 Revised:2010-09-30 Online:2010-11-01 Published:2010-11-01

PDF

918

Abstract: The Painlev´e 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 Painlev´e 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.

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn