Study of Solutions for a Degenerate Reaction Equation with a High Order Operator and Advection

The goal of the present study is to characterize solutions under a travelling wave formulation degenerate Fisher-KPP problem. With problem, we refer following: heterogeneous diffusion that formulated with high order operator; non-linear advection and non-Lipstchitz spatially reaction. paper examines existence solutions, uniqueness oscillatory properties (also called instabilities). Such behaviour may lead negative in proximity zero. A numerical exploration provided following main finding declare: keeps oscillating null stationary solution due operator, except if reaction term quasi-Lipschitz, which it possible define region where are positive locally time.