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

MS Bruzón, TM Garrido, E Recio… - … Methods in the …, 2020 - Wiley Online Library
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.

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

MS Bruzón Gallego, TM Garrido Letrán… - 2020 - rodin.uca.es
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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