(3+1)维Boussinesq方程的多怪波解  

Multiple rogue wave solutions for (3+1)-dimensional Boussinesq equation

作　　者：郑彭丹[1] 席小忠[2] ZHENG Peng Dan;XI Xiao Zhong(Swan College,Central South University of Forestry and Technology,Changsha 410211,China;Institute of Mathematics and Computer Science,Yichun College,Jiangxi Yichun 336000,China)

机构地区：[1]中南林业科技大学涉外学院,湖南长沙410211 [2]宜春学院数学与计算机科学学院,江西宜春336000

出　　处：《南昌大学学报（理科版）》2021年第3期224-228,共5页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(NSFC1186069)。

摘　　要：(3+1)维Boussinesq方程经常用来描述重力波在水面上的传播。本文利用符号计算方法,得到了(3+1)维Boussinesq方程的多怪波解,其中包括1-怪波解,3-怪波解和6-怪波解,这些怪波解的动力学性质也被一些三维图像进行了展示。The(3+1)dimensional Boussinesq equation is often used to describe the propagation of gravity waves on the water surface.In this paper,we obtain the multiple rogue wave solutions to the(3+1)-dimensional Boussinesq equation by using the symbolic computation approach,including the solution of the 1-rogue wave,3-rogue wave and 6-rogue wave.The dynamics properties of these obtained solutions are also shown by some 3D images.

关 键 词：BOUSSINESQ方程 符号计算方法 多怪波解 

分 类 号：Q175.2[生物学—水生生物学]