报告一

题目：Lie group analysis of a coupled (2+1)-dimensional hyperbolic system

报告人：Prof. Chaudry Masood Khalique（西北大学，南非）

时间：2019年4月19日上午8:30

地点：B2-410

Abstract：

In this talk we carry out Lie group analysis and Noether symmetry classification of a coupled (2+1)-dimensional hyperbolic system. We show that the principal Lie algebra which is six dimensional, extends in several cases. We further show that three main cases arise in the Noether classification with respect to a Lagrangian. Moreover, we establish conservation laws in the cases which admit Noether point symmetries.

报告人简介：

Chaudry Masood Khalique received his PhD degrees from the University of Dundee, UK. He worked in the University of Botswana for 7 years and later moved to North-West University. Presently he is a full professor in the Department of Mathematical Sciences. He has supervised 8 PhD’s, 18 Masters, and mentored 7 postdoctoral fellows.

His research interests are in Lie group analysis of differential equations. He has published more than 200 research articles and delivered plenary talks at many international conferences. He is on the Editorial boards of 10 international journals.

He is a Fellow of the Royal Society of South Africa and the Institute of Mathematics and its Applications, UK, and member of Academy of Science of South Africa, London Mathematical Society, South African Mathematical Society, and Society for Industrial and Applied Mathematics, USA.

报告二

题目：Solitary wave solutions of the perturbed mKdV equation

报告人：张丽俊

时间：2019年4月19日上午10:30

地点：B2-410

Abstract

The solitary wave solutions of a perturbed mKdV equation is investigated by using the singular perturbation method and Melnikov's method. The two families of solitary wave solutions of the unperturbed system, having arbitrary positive wave speed and approaching a given value as time tends to infinity, persist for two specific wave speeds respectively. A new type of solitary wave solutions possessing both valley and peak with a particular wave speed appear after small perturbation, which exhibits the rich dynamical properties of the perturbed nonlinear wave equations.

报告人简介：

张俊丽，博士，山东科技大学特聘教授。主要研究方向有动力系统和微分方程的定性和分支理论、奇异摄动理论和方法及其在非线性方程行波解研究中的应用。曾在美国里海大学访问一年(2011-2012)，获南非西北大学博士后基金资助三年(2014-2017)，曾被邀请短期访问俄罗斯萨马拉大学(2018)和土耳其耶尔德兹理工大学(2016)并多次在国际会议做学术报告。目前在Nonlinear Analysis, Nonlinear Dynamics, Chaos, Solitons & Fractals, J. Comput. Appl.Math., J. Appl. Anal. Comp., 以及Disc. Cont. Dyn. Systems等国际著名期刊以第一或通讯作者共发表SCI检索的论文20余篇。主持完成国家自然科学项目一项，目前主持在研国家自然科学项目一项，以主要参与人参与国家自然科学基金多项。获首届（2015）全国高校数学微课程教学设计竞赛全国二等奖，主持完成浙江省教育厅省部级重点教改项目一项。

学科建设办公室  科技处  数学与统计学院（应用数学研究所）

2019年4月16日