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(May 12) Implicit solutions to the KdV-Burgers-Kuramoto equation

Last updated :2019-05-07

Topic: Implicit solutions to the KdV-Burgers-Kuramoto equation
Speaker: Professor Zhaosheng Feng
(University of Texas Rio Grande Valley)
Time: 16:00-17:00, Sunday, May 12, 2019
Venue: Room 415, Mathematics Building, Guangzhou South Campus, SYSU

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, some implicit wave solutions are derived and asymptotic behaviors are presented.