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吴文俊数学重点实验室数学物理系列报告【张大军】

报告题目:Solutions to nonlocal integrable systems

报告人:张大军教授(上海大学数学系)

时间:4月26日 下午3:50--4:50

地点:管理科研楼1308

摘要:An integrable PT-symmetric system called nonlocal nonlinear Schrödinger (NLS) equation was proposed 

by Ablowitz and Musslimani [PRL-2013-No.064105]. It turns out that such nonlocal type integrable equations 

are derived from unreduced 2-component systems by using nonlocal reductions. In this talk we introduce a 

reduction approach to getting solutions of these nonlocal type integrable equations from the known solutions 

of those unreduced systems. Examples include semi-discrete NLS equation, and several nonlocal hierarchies with 

in the AKNS scheme. We also introduce other recent progress from other researchers such as formal transformation 

between local and nonlocal equations and reduction from matrix systems on half line.  

欢迎广大师生参加!

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