Title:Approximate Solutions of the KdV-Burgers-Kuramoto Equation
Speaker:Zhaosheng Feng（School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley, Edinburg, Texas 78539, USA）
Time: 2019.5月17日
Location: Center for Mathematical Sciences, Room 813
Abstract:
In this talk, we are concerned with approximate solutions of the KdV-Burgers-Kuramoto Equation 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, approximate wave solutions of the KdV-Burgers-Kuramoto equation are presented.