Lie symmetries and travelling wave solutions of the nonlinear waves in the inhomogeneous Fisher-Kolmogorov equation |
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Authors: | M.S. Bruzón T.M. Garrido E. Recio R. de la Rosa |
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Affiliation: | Department of Mathematics, University of Cádiz, Puerto Real, Spain |
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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. |
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Keywords: | Lie symmetries optimal systems reductions travelling wave solutions generalized Fisher-Kolmogorov equation |
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