活動

 Seminar: Some methods to study the wave solutions of nonlinear wave equations

Date:

9 Apr 2024

Time:

Seminar: 11:00 am -12:00 nn

Consultation: 9:00 am -11:00 am

Language:

Mandarin

Venue:

D3-G/F-02

Registration:

Email to qsyin@eduhk.hk

Abstract:

In this talk, some methods to study the wave solutions of nonlinear wave equations, such as some direct methods, Hirota bilinear method and dynamical theorem method,  are analyzed and compared.  The dynamical theorem method and the sub-equation method are combined to study the higher-order differential equations. Some new exact solitary wave solutions and quasi-periodic traveling wave solutions of a kind of 5-th order nonlinear wave equation are derived by using this new approach.

Speaker:

Professor Zhang Lijun

Department of Mathematics, Shandong University of Science and Technology

About the speaker:

Dr. Zhang Lijun is a full Professor in the Department of Mathematics, Shandong University of Science and Technology. In 2008, she obtained a Ph.D. in Shanghai University. She has visited Lehigh University in the United States for one year, was funded by the Postdoctoral Fund of Northwest University in South Africa for three years. Andshe was invited to visit many famous foreign universities and research centers such as Moscow University, Samara University, African Institute of Mathematics, Yildiz University of Technology and Haran University in Turkey for a short period of time. Her research interests include dynamical system, bifurcation and chaos, differential equations (including ODE, PDE, IDE), traveling wave solutions to nonlinear wave equations; symmetries and conservation laws, group classification; application of singular perturbation theory to ion channel. She has published more than 80 articles that appear in international academic journals. She has been the PI for four national natural science projects. In 2015, she won the second prize of the first National College Mathematics Micro-course Teaching Design Competition.