Speaker:
Zhaosheng Feng
unit:
Time:
2018-12-10 10:30-11:30
Venue:
Beiyang Garden Campus Building 32 B218
starttime:
2018-12-10 10:30-11:30
Profile:
- Theme：
- KdV-Burgers-type Equation and Its Wave Solutions
- Time：
- 2018-12-10 10:30-11:30
- Venue：
- Beiyang Garden Campus Building 32 B218
- Speaker：
- Zhaosheng Feng
Profile
Department of Mathematics, University of Texas Rio Grande Valley, Edinburg, TX 78539, USA.
Abstract
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 and the Preller-Singer procedure, we convert partial differential equations into an overdetermined system from which some explicit and implicit wave solutions are derived in terms of elliptic functions. Numerical simulations of wave phenomena are illustrated, which provide us rich dynamic information.
