Optimal System and Conservation Laws for the Generalized Fisher Equation in Cylindrical Coordinates
Analysis of PDEs
2023-03-31 v1 Mathematical Physics
math.MP
Abstract
The reaction diffusion equation arises in physical situations in problems from population growth, genetics and physical sciences. We consider the generalised Fisher equation in cylindrical coordinates from Lie theory stand point. An invariance method is performed and the optimal set of nonequivalent symmetries is obtained. Finally, the conservation laws are constructed using 'multiplier method'. We determine multipliers as functions of the dependent and independent variables only. The conservation laws are computed and presented in terms of conserved vector corresponding to each multiplier.
Keywords
Cite
@article{arxiv.2303.17462,
title = {Optimal System and Conservation Laws for the Generalized Fisher Equation in Cylindrical Coordinates},
author = {Ali Reza and Sonia Naseer and F D Zaman and A H Kara},
journal= {arXiv preprint arXiv:2303.17462},
year = {2023}
}