Rational and semi-rational solutions of integrable differential-difference equations

作者:赵松林发布时间:2024-01-11浏览次数:10

报告人:虞国富 教授(上海交通大学)
报告时间:2024年1月12日(周五)10:30-11:30
报告地点:广A304
报告摘要:Recently, rational solutions of integrable differential equations have attracted much attention. In this talk, we will first present a review on the application of Hirota's bilinear method in the construction of rational and semi-rational solutions of integrable equations. Then we investigate a special two-dimensional lattice equation proposed by Blaszak and Szum and so-called Leznov lattice equation based on Hirota's bilinear method. We derive solitons, breathers and rational solutions to the l
报告人简介:

虞国富,上海交通大学教授、博士生导师。2007年博士毕业于中国科学院数学与系统科学研究院,加拿大蒙特利尔大学博士后。主要从事孤立子与可积系统、正交多项式等方面的研究。在数学物理领域学术刊物Adv. Math.,Nonlinearity,Physica D,JNS等发表论文60余篇。主持国家自然科学基金、上海市晨光计划、上海交通大学晨星青年学者奖励计划等多项研究课题。