时间：2021年6月10日（星期四）15:30-16:30

地点：勤园21号楼306学术报告厅

主讲人：山东科技大学教授，博士生导师。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莫斯科大学、萨马拉大学、非洲数学所、土耳其耶尔德兹理工大学等多所国外著名大学与研究中心。目前在Nonlinear Analysis, Nonlinear Dynamics, I. J. Bifurf & Chaos, 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40余篇。主持完成国家自然科学项目青年和面上各一项，主持在研国家自然科学项目国际合作交流项目一项。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。

内容简介：The dynamical system approach has been well applied to study the traveling wave solutions of various nonlinear wave equations in recent two decades. In this talk, the main ideal and the key steps of this approach to investigate the traveling wave solutions of nonlinear wave equations will be introduced firstly. In addition to the exact solutions, the bifurcations of the traveling wave solutions and various smooth or non-smooth can be derived via this approach. The advantage and the challenging of this method is discussed as well. How this approach is extended to examine the traveling waves solutions, even the multi-wave solutions of higher-order nonlinear wave equations will be presented. Some recent development and works on the persistence of traveling wave solutions and the new solitary wave solutions to some classical nonlinear wave equations under singular perturbation via combining the singular perturbation method and bifurcation analysis are presented.