Wave Solutions of KdV-Burgers-type Equations

Abstract: In this talk, we consider explicit/implicit wave solutions of a class of the KdV-Burgers-type systems by starting with the Burgers equation, and then focus on the higher-order KdV-Burgers-type equation, a partial differential equation that occupies a prominent position in describing some physical processes in motion of turbulence and other unstable process systems. We limit our attention to various bounded wave solutions and their asymptotic behaviors.

 

Bio:Zhaosheng Feng, Carlos and Stephanie Manrique de Lara Endowed Chair Professor at the School of Mathematical and Statistical Sciences of University of Texas-RGV, USA. He is the recipient of UTRGV Excellence Award in Research in 2015 and 2021. His research interests lie in nonlinear analysis, dynamical systems, computational methods and simulations, mathematical physics, and mathematical biology etc.