数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (3): 1073-1082.doi: 10.1016/S0252-9602(12)60080-0

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EXACT TRAVELING WAVE SOLUTIONS OF MODIFIED ZAKHAROV EQUATIONS FOR PLASMAS WITH A QUANTUM CORRECTION

房少梅1|郭昌洪1|郭柏灵2   

  1. 1.College of Science, South China Agricultural University, Guangzhou 510640, China|2.Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • 收稿日期:2010-08-24 修回日期:2010-11-12 出版日期:2012-05-20 发布日期:2012-05-20
  • 基金资助:

    Supported by the National Natural Science Founda-tion of China (10871075) and Natural Science Foundation of Guangdong Province, China (9151064201000040).

EXACT TRAVELING WAVE SOLUTIONS OF MODIFIED ZAKHAROV EQUATIONS FOR PLASMAS WITH A QUANTUM CORRECTION

 FANG Shao-Mei1, GUO Chang-Hong1, GUO Bo-Ling2   

  1. 1.College of Science, South China Agricultural University, Guangzhou 510640, China|2.Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • Received:2010-08-24 Revised:2010-11-12 Online:2012-05-20 Published:2012-05-20
  • Supported by:

    Supported by the National Natural Science Founda-tion of China (10871075) and Natural Science Foundation of Guangdong Province, China (9151064201000040).

摘要:

In this article, the authors study the exact traveling wave solutions of modified Zakharov equations for plasmas with a quantum correction by hyperbolic tangent function expansion method, hyperbolic secant expansion method, and Jacobi elliptic function ex-pansion method. They obtain more exact traveling wave solutions including trigonometric function solutions, rational function solutions, and more generally solitary waves, which are called classical bright soliton, W-shaped soliton, and M-shaped soliton.

关键词: Modified Zakharov equations, Quantum correction, Exact traveling wave solution, Function expansion method, M-shaped soliton

Abstract:

In this article, the authors study the exact traveling wave solutions of modified Zakharov equations for plasmas with a quantum correction by hyperbolic tangent function expansion method, hyperbolic secant expansion method, and Jacobi elliptic function ex-pansion method. They obtain more exact traveling wave solutions including trigonometric function solutions, rational function solutions, and more generally solitary waves, which are called classical bright soliton, W-shaped soliton, and M-shaped soliton.

Key words: Modified Zakharov equations, Quantum correction, Exact traveling wave solution, Function expansion method, M-shaped soliton

中图分类号: 

  • 35C07