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Understanding Peakons, Periodic Peakons and Compactons via a Shallow Water Wave Equation

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Date: Thursday 27 April 2017
Venue: EN308, Hawthorn Campus

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Our April Applied Mathematics Seminar features Professor Jibin Li, Distinguished Professor of Mathematics, Huaqiao University, China, who is currently visiting Swinburne under a visiting researcher scholarship.


In this talk, a shallow water wave model is used to introduce the concepts of peakon, periodic peakon and compacton. Traveling wave solutions of the shallow water equation are presented.

The corresponding traveling wave system is a singular planar dynamical system with one singular straight line.

By using the method of dynamical systems, bifurcation diagrams and explicit exact parametric representations of the solutions are given, including solitary wave solution, periodic wave solution, peakon solution, periodic peakon solution and compacton solution under different parameter conditions.

About the speaker

Professor Jibin Li is currently a distinguished Professor of mathematics at Huaqiao University, China, the Director and Chair Professor of Center for Nonlinear Science Studies at Zhejiang Normal University, Professor of Mathematics at Kunming University of Science and Technology, and Vice Chairman of Institute of Applied Mathematics of Yunnan Province. Professor Li has long been serviced as a member of the specialist group for mathematics in National Natural Science Foundation of China since 1998.

The research interests of Professor Jibin Li include: Qualitative Theory and Stability Theory of Differential Equations, Bifurcation Theory of Dynamical Systems, Nonlinear Oscillations, Dynamical systems, Hamiltonian Systems, Mathematical Physics, Biomathematics, Nonlinear Wave Equations, Functional Differential Equations. In these areas, he has published 14 books and over 200 journal articles, including 3 books and 30 first authored papers in the last 5 years alone.

All welcome. For further information, please contact Dr Tonghua Zhang.

Contact Information: Dr Tonghua Zhang