报告鸿博体育(集团)有限公司:2019年5月24日(星期五)15:30-17:00
报告地点:翡翠湖校区科教楼B座1710
报告人:冯兆生教授
工作单位:美国德克萨斯大学大河谷分校数学与统计学院
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。曾担任十余个国际学术会议的学术委员会委员,并在多个国际学术会议上做过大会报告。目前担任国际学术期刊 Communications in Nonlinear Science and Numerical Simulation和 Electronic Journal of Differential Equations的主编,同时担任六个国际高质量学术杂志的编委。
报告简介: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.