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| A glioma is a kind of tumor that starts in the brain or spine. The most common site of gliomas is in the brain.
Most of the mathematical models in use for malignant gliomas are based on a simple reaction-diffusion equation: the Fisher equation.
A nonlinear wave model describing the fundamental features of these tumors has been introduced by V.M. P\'erez and collaborators.
In this work, we study this model from the point of view of the theory of symmetry reductions in partial differential equations.
We obtain the classical symmetries admitted by the system, then, we use the transformations groups to reduce the equations to ordinary differential equations.
Some exact solutions are derived from the solutions of a simple non-linear ordinary differential equation. |
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