Persistence of solitary waves in shallow water wave equations with nonlocal effects

发布时间：2022-11-14 作者：浏览次数：

Speaker:	吴然超	DateTime:	2022年11月17日（周四）下午：3:00-4:00
Brief Introduction to Speaker: 吴然超，安徽大学数学科学学院教授，博士生导师；主要从事微分方程与动力系统分支、混沌及其控制方面的研究工作。美国《数学评论》评论员；获得安徽省自然科学二等奖1项。		Place:	腾讯会议：606655051
Abstract:By using geometric singular perturbation theory, Abel integral and Melnikov method, solitary waves and periodic solutions in the shallow water wave equations are showed to persist under nonlocal perturbations. It is found that solitary waves will persist with the nonlocal perturbation, different from the local cases. Other interesting results, such asymptotic speed of waves, are also found.