A Class of Coupled Nonlinear Schrödinger Equation:Painlevé Property,Exact Solutions and Application to Atmospheric Gravity Waves

LIU Ping; LI Zi-liang; LOU Sen-yue

doi:10.3879/j.issn.1000-0887.2010.11.005

Volume 31 Issue 11

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LIU Ping, LI Zi-liang, LOU Sen-yue. A Class of Coupled Nonlinear Schrödinger Equation:Painlevé Property,Exact Solutions and Application to Atmospheric Gravity Waves[J]. Applied Mathematics and Mechanics, 2010, 31(11): 1308-1329. doi: 10.3879/j.issn.1000-0887.2010.11.005

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A Class of Coupled Nonlinear Schrödinger Equation:Painlevé Property,Exact Solutions and Application to Atmospheric Gravity Waves

doi: 10.3879/j.issn.1000-0887.2010.11.005

1.
Department of Electronic Engineering, University of Electronic Science and Technology of China Zhongshan Institute, Zhongshan, Guangdong 528402, P. R. China;

Received Date: 1900-01-01
Rev Recd Date: 2010-09-30
Publish Date: 2010-11-15

Abstract

Abstract

The Painlev? integrability and exact solutions of a coupled nonlinear Schrödinger (CNLS) equation applied in atmospheric dynamics were discussed. Some parametric restrictions of the CNLS equation were given to pass the Painlevé test. 20 periodic cnoidal wave solutions were obtained by applying the rational expansions of fundamental Jacobi elliptic functions. The exact solutions of the CNLS equation are applied to explain the generation and propagation of atmospheric gravity waves.
- coupled nonlinear Schrö,
- dinger equation,
- Painlevé,
- property

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References(29)

References

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