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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain


Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

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Nonlinear Self-adjointness for a Generalized Fisher Equation in Cylindrical Coordinates

Journal of Applied Nonlinear Dynamics 4(1) (2015) 91--100 | DOI:10.5890/JAND.2015.03.008

M.L. Gandarias; M.S. Bruzón; M. Rosa

Departamento de Matemáticas, Universidad de Cádiz, Polígono del Río San Pedro, 11510, Puerto Real, Cádiz, Spain

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In this work we study a generalization of the well known Fisher equation in cylindrical coordinates. 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.


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