浙江师范大学戴燕飞博士学术报告
发布时间: 2023-05-23 浏览次数: 407




报告题目:



Problems of traveling wave solutions in a class of perturbed generalized KdV equations


报告人:

戴燕飞博士,浙江师范大学

报告时间:

2023525日周四上午 10:00-11:00

报告地点:

线上腾讯会议:199 387 035







英文摘要



In this talk, we first introduce the latest progresses and existing problems of traveling wave solutions in a class of perturbed generalized KdV equations. Then, for some general cases, we prove the persistence of periodic wave solutions with certain wave speeds under small perturbation by using geometric singular perturbation theory and analyzing the perturbations of a Hamiltonian system with two arbitrarily high-order terms. In addition, some properties of traveling wave solutions are obtained. Our results include and generalize known results. Moreover, our proofs are much simpler and shorter than existing ones. The talk includes joint works with Minzhi Wei, Yangjian Sun, Maoan Han and Changjian Liu.


报告人简介:

戴燕飞, 浙江师范大学数学科学学院讲师中山大学理学博士,研究方向为常微分方程理论及其应用、生物数学,主要从事极限环分支理论及其在生物数学模型、数学物理方程中的应用研究。在国内外重要学术期刊上发表SCI收录学术论文10余篇。



 
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