Boussinesq方程的孤子与Jacobi椭圆函数波的相互作用解及动力学研究

Dynamics research and interaction solution between soliton and Jacobi elliptic function wave of Boussinesq equation

Boussinesq方程及其精确解在自然科学领域有着极其重要的作用.该文应用CRE方法求解Boussinesq方程,得到了孤立波与Jacobi正弦周期波的相互作用解.通过选择Jacobi椭圆函数的不同模量,可以得到孤立波和周期波相互作用的不同动力学行为.

Boussinesq equation and its exact solution play an important role in many fields of natural science.Interaction solutions between solitary wave and Jacobi sinusoidal periodic wave are derived from Boussinesq equation by consistent Riccati expansion method in this paper.The dynamic behaviors between solitary wave and periodic wave is demonstrated by changing the modulus of Jacobi elliptic function.