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)
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
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.
Received: 24 May 2007
Revised: 09 June 2007
Accepted manuscript online:
Fund: 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 ).
Cite this article:
Zhang Liang(张亮) Zhang Li-Feng(张立凤), and Li Chong-Yin(李崇银) Some new exact solutions of Jacobian elliptic function about the generalized Boussinesq equation and Boussinesq--Burgers equation 2008 Chin. Phys. B 17 403
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