Speaker: Professor Qiao Zhijun
Topic: High-order models with pseudo-peakons and rogue peakons
Date: March 18th, 2024 (Monday)
Time: 2.00 p.m.
Venue: Academic Lecture Hall 1506, Jingyuan Building
Sponsors: School of Mathematics and Statistics, Institute of Mathematics, Institute of Science and Technology
Biography:
Zhijun (George) Qiao is an endowed professor of the School of Mathematics at the University of Texas. In 1997, he received his PhD from the Department of Mathematics of Fudan University, where he studied under Academician Gu Chaohao and Academician Hu Hesheng. In 1999, his dissertation was awarded as top 100 national outstanding doctoral dissertations. From 1999 to 2001, he served as a Humboldt Scholar in the Department of Mathematics of University of Kassel. His research directions include nonlinear partial differential equation, integrable system and nonlinear peakon, KdV equations and soliton theory, integrable symplectic map, R-matrix theory, radar image processing and inverse problems of mathematical physics. He has presided over more than 20 national projects; published more than 160 academic papers and 2 books in famous international journals such as Communications in Mathematical Physics, Journal of Nonlinear Science, and Journal of Differential Equations. In addition, he serves as a member of the recognized five major mathematical physics academic organizations and an editorial board member of six first-class international journals in the field of mathematical physics. He has given nearly a hundred keynote speeches, special reports, and academic reports at international seminars and professional academic conferences. Also, he has organized more than 20 international conferences and seminars around the world.
Abstract:
In this talk, we introduce some higher order models with peakons or pseudo-peakons we proposed recently. We also present new type of peakon solutions of partial differential equations, called rogue peakons provided with a non-traveling wave. Some linear and nonlinear models are taken to illustrate the rogue peakon solutions. Some open problems will be addressed for discussion in the end. Part of work is joint with Dr. Baoqiang Xia, Dr. Quansheng Liu, and Dr. Enrique Reyes et al.