Dynamics of the KdV-Burgers-Kuramoto equation

Ponente(s): Zhaosheng Feng .
In this talk, we start with Burgers-type equations, and then focus on the KdV-Burgers-Kuramoto equation, a partial differential equation that occupies a prominent position in describing some physical processes in motion of turbulence and other unstable process systems. Equivalence transformations are applied for exploring the principal Lie symmetry. By means of the associated equivalence algebra, the Abel operator and the Preller-Singer procedure, some dynamical properties and numerical simulations of the KdV-Burgers-Kuramoto equation are presented.