报告人：李继彬，浙江师范大学特聘教授，博士生导师

题  目：动力系统和孤立波

时  间：2013年12月26日（周四）下午3:30 - 4:30

报告地点： 18号楼 918，bat365官网登录入口会议室

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报告人简介：李继彬，浙江师范大学特聘教授，博士生导师，动力系统与非线性研究中心负责人，国家级突出贡献专家。曾任国家自然科学基金委数学学科评审专家组成员四届。云南省科学技术委员会常务委员,，云南省数学会理事长，云南省应用数学研究所副所长等。现为《应用数学与力学》、《微分方程年刊》等全国性刊物的编委；美国《数学评论》与德国《数学文摘》评论员。主持承担国家自然科学基金重点项目和面上科研项目等10余项，发表论文180余篇，出版专著6部，主编教材两本、出版科普书两部。科研成果曾分别获云南省和浙江省科学技术一等奖。曾先后二十余次应邀到美国、法国、加拿大、德国、英国、澳大利亚、西班牙、新加坡等国家进行科研合作与学术交流。

报告内容简介: The studies of solitons and complete integrability of nonlinear wave equations and bifurcations and chaos of dynamical systems are two very active fields in nonlinear science. Because a homoclinic orbit of a travelling wave system (ODEs) corresponds to a solitary wave solution of a nonlinear wave equation (PDE). This fact provides an intersection point for the above two study fields. The aim of this report is to give a more systematic account for the bifurcation theory method of dynamical systems to find exact travelling wave solutions and their dynamics with an emphasis on the singular properties (so called new waves mathematics) of solutions, such as peakons, cuspons, compactons and loop solutions et al., for some classes of very well known nonlinear wave equations. Scholars shall find how standard methods of the theory of dynamical systems may be used for the study of travelling wave solutions even in the case of systems with discontinuities.