(3+1)维B-type Kadomtsev-Petviashvili-Boussinesq方程的周期孤子解  

Periodic soliton solutions of(3+1)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation

作　　者：彭丽娟[1] PENG Lijuan(Chongqing College of Electronic Engineering,Chongqing 401331,China)

机构地区：[1]重庆电子工程职业学院,重庆401331

出　　处：《南昌大学学报（理科版）》2020年第2期124-127,共4页Journal of Nanchang University(Natural Science)

基　　金：重庆市职业教育科研“十三五”规划课题(2018-GX-144);重庆市高等教育教学改革研究重点项目(202177)。

摘　　要：Kadomtsev-Petviashvili方程是一类重要的非线性偏微分方程,有很多的应用。本文主要研究(3+1)维B-type Kadomtsev-Petviashvili-Boussinesq方程。利用一个假设,我们找到了该方程大量新的精确解,并通过一些三维图形展示了这些解的物理结构和特点。The Kadomtsev Petviashvili equation is a kind of important nonlinear partial differential equation.It has many applications.Under investigation is the(3+1)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation.Using a hypothesis,we find a large number of new exact solutions to the equation.The physical structure and characteristics of these obtained solutions are shown through some three-dimensional graphics.

关 键 词：Hirota双线性形式 B-type Kadomtsev-Petviashvili-Boussinesq方程 周期孤子解 

分 类 号：O175.29[理学—数学]