| 报告题目： | Variform Exact One-Peakon Solutions for Some Singular Nonlinear Traveling Wave Equations of the First Kind |
| 报 告 人： | 李继彬 教授 |
| 浙江师范大学和昆明理工大学 | |
| 报告时间： | 6月5日下午3:30-4:30 pm |
| 报告地点： | 九龙湖数学系第一报告厅 |
| 相关介绍： | Abstract: In this talk, we consider variform exact peakon solutions for four nonlinear wave equations. We show that under different parameter conditions, one nonlinear wave equation can have different exact one-peakon solutions and different nonlinear wave equations can have different explicit exact one-peakon solutions. Namely, there are various exact explicit one-peakon solutions, which are different from the one-peakon solution $pe^{-\alpha|x-ct|}$. In fact, when a travelling system has a singular straight line and a curve triangle surrounding a periodic annulus of a center under some parameter conditions, there must be peaked solitary wave solutions (peakons) appearing. 李继彬，浙江师范大学特聘教授，博士生导师，国家自然科学基金重点项目负责人，国家自然科学基金委员会数学学科评审组第六、七届专家组成员，中国数学会第九、十两届理事和中国工业与应用数学学会两届理事。《应用数学与力学》、《微分方程年刊》等全国性刊物的编委，《非线性动力学报》常务编委；美国《数学评论》与德国《数学文摘》评论员。 |
