(3+1)维Boussinesq方程的可积性及新相互作用解

Integrability and new interaction solutions of a(3+1)-dimensional Boussinesq equation

借助符号计算软件Maple证明了新的(3+1)维Boussinesq方程具有相容正切可积性,通过选取该方程的相容性条件方程的不同形式的解,得到了新的(3+1)维Boussinesq方程的孤子与其他波的相互作用解,如简单孤子解、孤子与椭圆余弦波作用解和共振孤子解,并给出了孤子与椭圆余弦波作用解和共振孤子解所对应的图形。

With the help of symbolic calculation software Maple,a new(3+1)-dimensional Boussinesq equation was proved to have consistent tanh integrability.Many interaction solutions among solitons and other types of nonlinear waves,such as simple soliton solution,soliton-cnoidal wave interation solution and resonant soliton solution,were given by selecting different solutions under consistent conditions equation.The corresponding graphs of soliton-cnoidal wave interation solution and resonant soliton solution were presented.