报告题目：Dynamics of the KdV-Burgers-Kuramoto System

报 告 人：冯兆生教授 美国德克萨斯大学大河谷分校

报告时间：2019年8月19日15：00—16:30

报告地点：数学楼一楼第一报告厅

报告摘要:

In this talk, we are concerned with bounded wave solutions of the KdV-Burgers-Kuramoto system by starting 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, the Abel operator and the Preller-Singer procedure, explicit and implicit wave solutions of the KdV-Burgers-Kuramoto system are presented.

报告人简介：

   冯兆生，美国德克萨斯大学大河谷分校(University of Texas Rio Grande Valley)数学与统计学院终身教授，德克萨斯大学杰出成就奖获得者。主要研究方向有非线性动力学, 分支和混沌理论, 数学物理问题, 数值计算和生物数学等。目前担任国际知名SCI学术期刊Communications in Nonlinear Science and Numerical Simulation和Electronic Journal of Differential Equations的主编，同时担任多个国际SCI学术杂志的编委。