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arXiv · 2501.18791

Lie symmetries and travelling wave solutions of the nonlinear waves in the inhomogeneous Fisher-Kolmogorov equation

M. S. Bruzón·T. M. Garrido·E. Recio·R. de la Rosa
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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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M. S. Bruzón, T. M. Garrido, E. Recio, R. de la Rosa. 2025-01-30. Lie symmetries and travelling wave solutions of the nonlinear waves in the inhomogeneous Fisher-Kolmogorov equation. https://doi.org/10.1002/mma.5977

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