(3+1)维变系数 Kadomtsev-Petviashvili方程的多孤子解

摘要

With the help of symbolic computation,new kinds of generalized soliton-type solutions were dis-cussed.Two-solitary waves solution for the (3+1)-dimensional Kadomtsev-Petviashvili equation with vari-able coefficients were obtained by using an extended variable coefficient homogeneous balance method and expansion method.This approach could also be applied to some other nonlinear evolution equations.%在符号计算的帮助下，利用一个改进后的齐次平衡法和ε－展开式方法，得到（3＋1）维变系数 Kadomtsev-Petviashvili 方程的新的更广义类型的孤子型解和2－孤立波解，此方法还可被应用到其它非线性发展方程中去。