用Hirota双线性方法构造一种(3+1)维高维孤子方程的多孤子解

通过两种方法构造了一种(3+1)维高维孤子方程的孤子解.第一种方法是利用对数函数变换,将其化成双线性形式的方程,在用级数扰动法求解双线性方程的单孤子解、双孤子解和N-孤子解.第二种方法是用广义有理多项式与试探法相结合,构造了(3+1)维高维孤子方程的怪波解.

Multiple Soliton Solution of the(3+1)-Dimensional Hirota Bilinear Soliton Equation

Two methods are used to construct the soliton solution of(3+1)-dimensional soliton equation.The first method is to transform it into bilinear equation by using the logarithmic function transformation,and to solve the single soliton solution,double soliton solution and N-soliton solution of bilinear equation by using series perturbation method.The second method is to construct the strange wave solution of(3+1)dimensional high-dimensional soliton equation by combining generalized rational polynomials with heuristic method.