江蘇省應用數學（中國礦業大學）中心系列學術報告
報告題目：Extensions of some integrable systems and their molecule solutions
報告時間：2023年 9月10日10:00-11:30
騰訊會議：會議 ID： 387-266-3917
報告摘要：In this talk, I will introduce some works on extensions of certain integrable systems, including nonisospectral extensions of the semi-discrete Volterra lattices and Schur flow, a generalized discrete Lotka-Volterra equation, a generalized epsilon algorithm and an extension of the hungry Lotka-Volterra lattice to nonzero boundaries. We also present their corresponding molecule solutions expressed explicitly by determinant. Moreover, we investigate the relations between these integrable systems and orthogonal polynomials. All these results are obtained by Hirota’s bilinear method and determinant techniques.
專家簡介：陳曉敏，2016年博士畢業于中國科學院數學與系統科學研究院，2016-2018年在德國馬克斯普朗克動力學與自組織研究所做博士後。現為北京工業大學理學部講師，碩士生導師。主要從事可積系統與正交多項式方面的交叉研究，學術成果發表在國際知名期刊 Adv. Math., Nonlinearity, Numerical Algorithms, Physica D 等上面，主持國家自然科學青年基金項目、北京市自然科學青年基金項目以及北京市教委科技一般項目各一項。