中国物理B ›› 2008, Vol. 17 ›› Issue (2): 403-410.doi: 10.1088/1674-1056/17/2/009

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Some new exact solutions of Jacobian elliptic function about the generalized Boussinesq equation and Boussinesq--Burgers equation

张 亮1, 张立凤1, 李崇银2   

  1. (1)Institute of Meteorology, PLA University of Science and Technology, Laboratory of Applied Geophysics, Nanjing 211101, China; (2)Institute of Meteorology, PLA University of Science and Technology, Laboratory of Applied Geophysics, Nanjing 211101, China;State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics,Institute of Atmospheric Physic
  • 收稿日期:2007-05-24 修回日期:2007-06-09 出版日期:2008-02-20 发布日期:2008-02-20
  • 基金资助:
    Project supported by the State Key Program for Basic Research of China (Grant No 2004CB418304) and the National Natural Science Foundation of China (Grant No 40405010 ).

Some new exact solutions of Jacobian elliptic function about the generalized Boussinesq equation and Boussinesq--Burgers equation

Zhang Liang(张亮)a)† Zhang Li-Feng(张立凤)a), and Li Chong-Yin(李崇银)a)b)   

  1. a Institute of Meteorology, PLA University of Science and Technology, Laboratory of Applied Geophysics, Nanjing 211101, China; b State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China 
  • Received:2007-05-24 Revised:2007-06-09 Online:2008-02-20 Published:2008-02-20
  • Supported by:
    Project supported by the State Key Program for Basic Research of China (Grant No 2004CB418304) and the National Natural Science Foundation of China (Grant No 40405010 ).

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摘要： By using the modified mapping method, we find some new exact solutions of the generalized Boussinesq equation and the Boussinesq--Burgers equation. The solutions obtained in this paper include Jacobian elliptic function solutions, combined Jacobian elliptic function solutions, soliton solutions, triangular function solutions.

关键词: generalized Boussinesq equation, Boussinesq--Burgers equation, Jacobian elliptic function, modified mapping method

Abstract: By using the modified mapping method, we find some new exact solutions of the generalized Boussinesq equation and the Boussinesq--Burgers equation. The solutions obtained in this paper include Jacobian elliptic function solutions, combined Jacobian elliptic function solutions, soliton solutions, triangular function solutions.

Key words: generalized Boussinesq equation, Boussinesq--Burgers equation, Jacobian elliptic function, modified mapping method

中图分类号:  (Partial differential equations)

  • 02.30.Jr
05.45.Yv (Solitons) 02.30.Hq (Ordinary differential equations)