Abstract: Research Centre of Engineering Science, Zhejiang University of Technology, Hangzhou 310032, P. R. China; 2.Department of Physics and Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, P. R. China) (Communicated by Zhang Hongqing)Abstract: Using the homogeneous balance method introduced by Wang Mingliang, the multi-solitary wave solutions are obtained for the variant Boussinesq equation and Kupersh- midt equation. The Wang’s result is a special case of above results for the variant Bous-sinesq equation.

Key words: multi-solitary wave solutions, balance method, Boussinesq equation, Kupershmidt equation