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The existence of solitary wave solutions of perturbed delayed Camassa-Holm equation

發布者:文明辦發布時間:2019-04-17瀏覽次數:76


主講人:杜增吉 江蘇師范大學教授 博士生導師


時間:2019年4月18日15:30


地點:3號樓332報告廳


舉辦單位:數理學院


主講人介紹:江蘇師范大學教授、博士、博士生導師、副校長,中國數學會奇異攝動專業委員會副理事長,江蘇省優秀教育工作者,江蘇省“333高層次人才”中青年科學技術帶頭人,江蘇省“青藍工程”中青年學術帶頭人。研究方向為微分方程與動力系統、奇異攝動理論及其應用等。在Journal  of Functional Analysis, Journal of Differential Equations, Communications in  Contemporary Mathematics, Journal of Mathematical Biology  等數學雜志上發表SCI論文60多篇,在科學出版社出版專著1部,主持國家自然科學基金和省部級項目10余項。


內容介紹:In this talk, we discuss the Camassa-Holm equation, which is a model for shallow  water waves. We first establish the existence of solitary wave solutions for the  equation without delay. And then we prove the existence of solitary wave  solutions for the equation with a special local delay convolution kernel and a  special nonlocal delay convolution kernel by using the method of dynamical  system, especially the geometric singular perturbation theory and invariant  manifold theory. According to the relationship between solitary wave and  homoclinic orbit, the Camassa-Holm equation is transformed into the ordinary  differential equations with fast variables by using the variable substitution.

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