  We consider a family of exact solutions to a nonlinear reaction-diffusion
model, constructed using nonclassical symmetry analysis. In a particular limit,
the mathematical model approaches the well-known Fisher-KPP model, which means
that it is related to various applications including cancer progression, wound
healing and ecological invasion. The exact solution is mathematically
interesting since exact solutions of the Fisher-KPP model are rare, and often
restricted to long-time travelling wave solutions for special values of the
travelling wave speed.
