General explicit solutions of a classical Boussinesq system
Zhang Shan-Qing (张善卿)a, Xu Gui-Qiong (徐桂琼)ab, Li Zhi-Bin (李志斌)a
a Department of Computer Science, East China Normal University, Shanghai 200062, China; b Department of Information Engineering and Administration, Shanghai University, Shanghai 200436, China
Abstract Seeking a travelling wave solution of the classical Boussinesq system and making an ansatz for the solution, we obtain a nonlinear system of algebraic equations. We solve the system using an effective algorithm and then two general explicit solutions are obtained which are of physical interest.
Received: 11 April 2002
Revised: 18 June 2002
Accepted manuscript online:
Fund: Project supported by the State Key Programme of Basic Research of China (Grant No G1998030600) and by the Natural Science Foundation of Shanghai, China (Grant No ZD14012).
Cite this article:
Zhang Shan-Qing (张善卿), Xu Gui-Qiong (徐桂琼), Li Zhi-Bin (李志斌) General explicit solutions of a classical Boussinesq system 2002 Chinese Physics 11 993
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