報告題目：Dynamics of the KdV-Burgers-Kuramoto System
報 告 人：馮兆生教授 美國德克薩斯大學大河谷分校
報告時間：2019年8月19日15：00—16:30
報告地點：數學樓一樓第一報告廳
報告摘要:
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.
報告人簡介：
馮兆生，美國德克薩斯大學大河谷分校(University of Texas Rio Grande Valley)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動力學, 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SCI學術期刊Communications in Nonlinear Science and Numerical Simulation和Electronic Journal of Differential Equations的主編，同時擔任多個國際SCI學術雜志的編委。
