摘要
The Boussinesq equation is one of important prototypic models in nonlinear physics. Various nonlinear excitations of the Boussinesq equation have been found by many methods. However, it is very difficult to find interaction solutions among different types of nonlinear excitations. In this peper, two equivalent very simple methods, the truncated Painleve analysis and the generalized tanh function expansion approaches, are developed to find interaction solutions between solitons and any other types of Boussinesq waves.
基金
Supported by the National Natural Science Foundations of China under Grant No.11175092
Scientific Research Fund of Zhejiang Provincial Education Department under Grant No.Y201017148
K.C.Wong Magna Fund in Ningbo University