Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
759140 | Communications in Nonlinear Science and Numerical Simulation | 2013 | 7 Pages |
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.
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Authors
M.L. Gandarias, M.S. Bruzón, M. Rosa,