Lie Symmetry Analysis and Conservation Laws for a Fisher Equation with Variable Coefficients

Authors

Mar?a Rosa, Departamento de Matem?ticas, Universidad de C?diz, 11500 Puerto Real, C´adiz, Spain.Follow
Mar?a S. Bruz?n, Departamento de Matem?ticas, Universidad de C?diz, 11500 Puerto Real, C?diz, Spain.Follow
Mar?a L. Gandarias, Departamento de Matem?ticas, Universidad de C?diz, 11500 Puerto Real, C?diz, Spain.Follow

Author Country (or Countries)

Spain.

Abstract

In this paper, we study a generalized Fisher equation with variable coefficients which has applications governing the spatiotemporal dynamics of the bacterial population and tumor growth. Conservation laws for this equation are constructed for the first time by using the new conservation theorem due to Ibragimov as well as the Lie symmetries. Furthermore, some conservation laws are derived by employing the direct multipliers method of Anco and Bluman.

Recommended Citation

Rosa, Mar?a; S. Bruz?n, Mar?a; and L. Gandarias, Mar?a (2015) "Lie Symmetry Analysis and Conservation Laws for a Fisher Equation with Variable Coefficients," Applied Mathematics & Information Sciences: Vol. 09: Iss. 6, Article 4.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss6/4