Title
Lie Symmetry Analysis, Explicit Solutions and Conservation Laws of a Spatially Two-Dimensional Burgers-Huxley Equation.
Abstract
In this paper, we investigate a spatially two-dimensional Burgers-Huxley equation that depicts the interaction between convection effects, diffusion transport, reaction gadget, nerve proliferation in neurophysics, as well as motion in liquid crystals. We have used the Lie symmetry method to study the vector fields, optimal systems of first order, symmetry reductions, and exact solutions. Furthermore, using the power series method, a set of series solutions are obtained. Finally, conservation laws are derived using optimal systems.
Year
DOI
Venue
2020
10.3390/sym12010170
SYMMETRY-BASEL
Keywords
Field
DocType
Burgers-Huxley equation,Lie symmetry method,conservation laws,Exact solutions
Convection,Vector field,Mathematical analysis,First order,Neurophysics,Power series,Liquid crystal,Diffusion transport,Conservation law,Mathematics
Journal
Volume
Issue
Citations 
12
1
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Amjad Hussain100.68
Shahida Bano200.34
Ilyas Khan32525.71
Dumitru Baleanu433878.57
K. S. Nisar51512.15