Special Session 47: 

Wave solutions to the KdV-Burgers-Kuramoto equation

Zhaosheng Feng
University of Texas-RGV
USA
Co-Author(s):    
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, wave solutions are derived and asymptotic behaviors are presented.