(3+1)维Kadomtsev-Petviashvili-Boussinesq方程的精确解  

Exact solutions of (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq equation

作　　者：何昀 HE Yun(Institute of Technoligy, East China Jiaotong University, Nanchang 330100, China)

机构地区：[1]华东交通大学理工学院,江西南昌330100

出　　处：《南昌大学学报（理科版）》2018年第3期216-220,共5页Journal of Nanchang University(Natural Science)

基　　金：江西省文化艺术规划一般项目(YG2016141);江西省"十三五"社科规划项目(16YS27)

摘　　要：首先通过一个简单的变换获得了(3+1)维Kadomtsev-Petviashvili-Boussinesq方程的Hirota双线性形式,然后借助符号计算软件Mathematica和一个特定的周期函数,我们得到了(3+1)维Kadomtsev-Petviashvili-Boussinesq方程一些新的精确解,为讨论这些解的物理结构和特点,通过选择不同的参数的值,给出了这些精确解的三维图形。The Hirota’bilinear form of the（3＋1）dimensional Kadomtsev-Petviashvili-Boussinesq equation is obtained by a simple transformation.With the aid of the symbolic computing software Mathematica and by means of a specific periodic function,new exact solutions to the（3＋1）dimensional Kadomtsev-Petviashvili-Boussinesq equation are derived.To discuss the physical structure and characteristics of these solutions,the three-dimensional graphs of these solutions were plotted by choosing different values of parameters.

关 键 词：Kadomtsev-Petviashvili-Boussinesq方程 符号计算 精确解 Hirota双线性形式 

分 类 号：J35[艺术—美术] Q51[生物学—生物化学]