New travelling wave solutions of the Porous-Fisher model with a moving boundary

Nabil T. Fadai, Matthew J. Simpson

We examine travelling wave solutions of the Porous-Fisher model, ${\partial }_{t}u(x,t)=u(x,t)\left[1-u(x,t)\right]+{\partial }_x\left[u(x,t){\partial }_{x}u(x,t)\right]$, with a Stefan-…