学术报告
报告题目：On the correspondence between the coupled dispersionless-type equations and the short pulse-type equations
报告人：虞国富，教授，博士生导师
报告时间：2020年12月01日10:00-11:30
腾讯会议：会议 ID：569 725 099
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报告摘要：
In this talk, we study the correspondence between the coupled dispersionless
(CD)-type equations and the short pulse (SP)-type equations. From the real and complex modified CD equations, we construct the real and complex modified short pulse (mSP) equations geometrically and algebraically. From the geometric point of view, we establish the link of the motions of space curves to the real and complex modified CD equations, then to the real and complex modified SP equations via hodograph transformations. The integrability of these equations are confirmed by constructing their Lax pairs geometrically. By using hodograph transformation, we construct the two-component SP equation from the CD-type equations, the multi-component real and complex SP and mSP equations from the multi-component CD equations. The multi-soliton solutions in the determinant form for the mSP and two-component SP equations are provided. The derivative-type CD and SP equation is also discussed.
专家简介：
虞国富，2007年6月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。现为上海交通大学数学科学学院教授、博士生导师。主要从事孤立子与可积系统、特殊函数、正交多项式方面的研究。在国外重要学术刊物上发表SCI论文30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。