19 December 2018
A joint academic report on “Traveling Wave Phenomena to KdV-Burgers Equation” was successfully held on 18th December. The report was jointly held by the Institute of Applied Mechanics, Key Laboratory of Soft Machines and Smart Devices, Soft Matter Research Center, Science and Technology Alliance of Stretchable Electronics and New Materials.
Prof. Feng Zhaosheng is a tenured professor of School of Mathematics and Statistics at University of Texas Rio Grande Valley, and recipient of distinguished achievement award. His research interests include Nonlinear Dynamics, Mathematical Physics and Biological Mathematics. He is the chief editor of world famous journals Communications in Nonlinear Science and Numerical Simulation, and Electronic Journal of Differential Equations. He also editorial board member of six international SCI journals.
In this talk, Prof. Feng firstly introduced research background of KdV-Burgers equation. In this research, 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. Equivalenc 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 wavesolutions of the KdV-Burgers-Kuramoto system are presented.
Prof. Feng not only explained complicated mathematical problems in a simple way, but also shared his rich and wonderful academic experience. The academic report was rich and logical, which aroused great interest of the participants. During the discussion session, academician Zhu Weiqiu recalled his early research on Isolated Waves, Shock Waves and other classical physics problems. Discussions between teachers and students are lively.
