报告题目： Bounded Wave Solutions of the KdV-Burgers-Kuramoto System

报告时间：2019年6月25日 09：00 - 09：50

报告地点: H203

Zhaosheng Feng

School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley, Edinburg, Texas 78539, USA

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.

主讲人简介：

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分析, 分支和混沌理论, 数学物理问题, 数值计算和生物数学等。目前担任国际知名学术期刊Communications in Nonlinear Science and Numerical Simulation和Electronic Journal of Differential Equations的主编，同时担任六个国际SCI学术杂志的编委。