On a family of exact solutions for a nonlinear diffusion equation

Rodrigo Meneses Pacheco

We present a complete description of the similarity solutions $u_{\alpha }(x,t)=t^{-\alpha /2}f(\Vert x\Vert /\sqrt{t};\alpha )$ for the following nonlinear diffusion equation $$ u_{t}+γ\vert u_{t} \v…