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KdV-Burgers-type Equation and Its Wave Solutions

2018-12-13 10:57    

报告人:冯兆生 【University of Texas Rio Grande Valley】

时   间:2018-12-10 10:30-11:30

地   点:北洋园校区32楼B218


报告人简介

       美国德克萨斯大学(University of Texas Rio Grande Valley) 大河谷分校数学统计学院终身教授,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, 分支与混沌系统, 数学物理问题, 数值计算和生物数学等。在数学、物理等国际学术刊物上共发表学术论文180余篇。近年在北美出版编辑五本英文著作/论文集,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杂志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杂志的编委。

报告内容介绍

    In this talk, we start 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 and the Preller-Singer procedure, we convert partial differential equations into an overdetermined system from which some explicit and implicit wave solutions are derived in terms of elliptic functions. Numerical simulations of wave phenomena are illustrated, which provide us rich dynamic information.

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