Symmetry in Nonlinear Mathematical Physics - 2009

Vsevolod Vladimirov (AGH University of Science and Technology, Krakow, Poland)

Compactons, solitons, cuspons and other patterns within the generalized convection-reaction-diffusion model

I will show how the methods of normal forms and other elements of qualitative analysis can help in stating the existence of various, sometimes quite exotic, invariant traveling wave solutions to the hyperbolic generalization of convection-reaction-diffusion equation.