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Lie symmetries and travelling wave solutions of the nonlinear waves in the inhomogeneous Fisher-Kolmogorov equation
Authors:M.S. Bruzón  T.M. Garrido  E. Recio  R. de la Rosa
Affiliation:Department of Mathematics, University of Cádiz, Puerto Real, Spain
Abstract:In this work, we consider a Fisher-Kolmogorov equation depending on two exponential functions of the spatial variables. We study this equation from the point of view of symmetry reductions in partial differential equations. Through two-dimensional abelian subalgebras, the equation is reduced to ordinary differential equations. New solutions have been derived and interpreted.
Keywords:Lie symmetries  optimal systems  reductions  travelling wave solutions  generalized Fisher-Kolmogorov equation
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