Lecture By Pro.Zhaosheng Feng of University of Texas at Austin
time: 2019-05-07

Speaker: Pro.Zhaosheng Feng(University of Texas at Austin)

Title: Wave Solutions of the KdV-Burgers-Kuramoto System

Time: Wed, May.15, 2019, AM:8:40-9:40

Location: Room 4224, Building No.4, Wushan Campus

Abstract:

        In this talk, we are concerned with bounded wave solutions of the KdV-Burgers-Kuramoto system by starting 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, explicit and implicit wave solutions of the KdV-Burgers-Kuramoto system are presented.