On the stability of some exact solutions to the generalized convection–reaction–diffusion equation

Abstract

Stability of a set of travelling wave solutions to the hyperbolic generalization of the convection-reaction-diffusion equation is studied by means of the qualitative methods and numerical simulation.

On the Stability of Kink-Like and Soliton-Like Solutions of the Generalized Convection-Reaction-Diffusion Equation

“…In the general case, i.e., when, e.g., the function g(u) is not constant, estimation of σ discr is rather more delicate problem. In paper [33] such estimation is performed for the TW solution…”