Article ID Journal Published Year Pages File Type
759140 Communications in Nonlinear Science and Numerical Simulation 2013 7 Pages PDF
Abstract

In this work we study a generalization of the well known Fisher equation. We determine the subclasses of these equations which are nonlinear self-adjoint. By using a general theorem on conservation laws proved by Nail Ibragimov and the symmetry generators we find conservation laws for these partial differential equations without classical Lagrangians.

► The generalized Fisher equations are neither quasi self adjoint nor weak self-adjoint. ► The subclasses of nonlinear self-adjoint equations are obtained. ► The conservation laws associated to their Lie symmetries are established.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
Authors
, , ,