Conservation laws, symmetries, and exact solutions of the classical Burgers-Fisher equation in two dimensions

被引：8
|
作者：
Rosa, M. [1 ]
Camacho, J. C. [1 ]
Bruzon, M. S. [1 ]
Gandarias, M. L. [1 ]
机构：
[1] Univ Cadiz, Dept Matemat, Cadiz 11500, Spain
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2019年 / 354卷
关键词：
Burgers-Fisher equation; Lie symmetries; Partial differential equations; PARTIAL-DIFFERENTIAL EQUATIONS; DIRECT CONSTRUCTION METHOD;
D O I：
10.1016/j.cam.2018.11.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work investigates a spatially two-dimensional advection-diffusion-reaction equation that generalizes the Burgers' and the Fisher's equations, having the properties of convective phenomenon from Burgers equation as well as diffusion transport and reaction phenomena from Fisher's equation. The two-dimensional equation is analysed from the point of view of the theory of symmetry reductions in partial differential equations. Conservation laws and exact solutions from double reductions are derived. Finally, an explicit shock wave solution is obtained. (C) 2018 Elsevier B.V. All rights reserved.
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页码：545 / 550
页数：6
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