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5月13日(星期一) 下午3：00--4:00

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

报告地点: 应用数学研究中心报告厅（计算机楼718#）

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.

个人简介：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。曾在多个国际学术会议上做过大会报告，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。

欢迎广大师生参加！