題 目:Bounded Wave Solutions of the KdV-Burgers-Kuramoto System
内容簡介: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.
報告人:美國德克薩斯大學大河谷分校(University of Texas Rio Grande Valley) 馮兆生 教授
報告人簡介:數學與統計學院終身教授,德克薩斯大學傑出成就獎獲得者。主要研究方向有非線性分析, 分支和混沌理論, 數學物理問題, 數值計算和生物數學等。目前擔任國際知名學術期刊 Communications in Nonlinear Science and Numerical Simulation 和 Electronic Journal of Differential Equations 的主編,同時擔任六個國際 SCI 學術雜志的編委。
時 間:2019年12月23日(周一)上午10:30始
地 點:南海樓224室
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2019年12月20日