【摘要】 利用一种基于符号计算的代数方法,结合M ap le环境中的Epsilon软件包,求解Boussinesq方程,获得了若干其它方法不曾给出的形式更为丰富的新的显式行波解,其中包括孤波解、三角函数解、有理函数解、Jacob i椭圆函数周期解和W e ierstrass椭圆函数周期解.与文献[8,15]相比,本文的方法更为简便、易行.将该方法应用于其它非线性波方程(组)中,可获得更多的显式行波解.更多还原

【Abstract】 The algebraic method,based on the symbolic computation,has been applied to study new travelling wave solutions for Boussinesq equation by means of Epsilon package in Maple.More new explicit travelling wave solutions are obtained,which contain solitons,triangular periodic,rational,Jacobi ellipse function periodic and Weierstrass ellipse function periodic solutions.Compared with the references ,the method put forward in this paper is more simple and convenient.More explicit travelling wave solutions can be obtained by using this method to solve other nonlinear travelling wave equations.更多还原