The Hopf-Cole transformation, topological solitons and multiple fusion solutions for the n-dimensional Burgers system

被引：15
作者：
Chen, Yang [1 ]
Fan, Engui [2 ,3 ]
Yuen, Manwai [4 ]
机构：
[1] Univ Macau, Dept Math, Macau, Peoples R China
[2] Fudan Univ, Sch Math, Shanghai 200433, Peoples R China
[3] Fudan Univ, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China
[4] Hong Kong Inst Educ, Dept Math & Informat Technol, Tai Po, Hong Kong, Peoples R China
来源：
PHYSICS LETTERS A | 2016年 / 380卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
n-Dimensional Burgers systems; n-Dimensional Hopf-Cole transformation; Topological solitons; Multiple fusion solutions; EQUATION;
D O I：
10.1016/j.physleta.2015.09.033
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We show that, under an irrotational condition, there exists an n-dimensional Hopf-Cole transformation between the n-dimensional Burgers system and an n-dimensional heat equation. Further, as application of the Hopf-Cole transformation, two kinds of physically interesting exact solutions for the n-dimensional Burgers equations are found. In the first kind of solutions, the velocity fields are topological solitons. In the second kind of solutions, velocity fields are all multiple fusion soliton solutions. (C) 2015 Elsevier B.V. All rights reserved.
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页码：9 / 14
页数：6
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