Traveling Wave Phenomena to KdV-Burgers Equation
Time：18 Dec. 2018Source：School of Aeronautics and Astronautics-Zhejiang UniversityAuthor：安婉Click：9
| Date | 18th Dec. 2018 |
| Time | 16:00-17:00 |
| Venue | Room 118, Building 12, Yuquan Campus |
| Speaker | Prof. Feng Zhaosheng (University of Texas Rio Grande Valley) |
| Abstract | In this talk, we consider the KdV-Burgers equation, a partial differential equation that is applied as a nonlinear model of the propagation of waves on an elastic tube filled with a viscous fluid. By means of the associated equivalence algebra and the first integral method, we convert partial differential equations into an overdetermined system from which the bounded traveling wave solutions are derived in terms of elliptic functions. Numerical simulations of wave phenomena are illustrated, which provide us rich dynamic information. |
| Speaker | Prof. Feng Zhaosheng is a tenured professor of the School of Mathematics and Statistics at University of Texas Rio Grande Valley. He received the University of Texas distinguished achievement award. His research areas include nonlinear dynamics, bifurcation and chaos systems, mathematical physics, numerical computation and biological mathematics. He has published more then 180 academic papers in international academic journals in fields of mathematics, physics, etc., among which nearly 160 papers have been indexed by SCI. In recent years, he has published six English works/anthologies in North America. He has served as a member of academic committee of more than ten international conferences, and made reports at several international academic conferences. He is now the editor-in-chief of Communications in Nonlinear Science and Numerical Simulation, and Elecronic Journal of Differential Equations, as well as a member of the editorial board of six international SCI journals. |
