报告一：正交多项式、随机矩阵和Riemann-Hilbert问题

报告人：范恩贵 （复旦大学教授、博导）

时  间：9：00-10：00

摘  要： 正交多项式和随机矩阵在物理、工程等领域有重要应用，特别与可积系统联系密切，本报告主要介绍正交多项式和随机矩阵的基本性质，主要研究问题， Riemann-Hilbert问题的联系，用Riemann-Hilbert方法分析正交多项式和随机矩阵渐近性的主要步骤。

报告二： Rogue wave and a pair of resonance stripe solitons to KP equation

报告人：陈勇（华东师范大学教授、博导）

时  间： 10:00-11:00

摘  要：A reduced generalized (3+1)-dimensional KP equation is investigated and rogue wave and a pair of resonance stripe solitons are discovered. First, based on the bilinear method, some lump solutions are obtained containing six parameters, four of which must cater to the non-zero conditions so as to insure the solution analytic and rationally localized. Second, a one-stripe-soliton-lump solution is presented and the interaction shows that the lump soliton can be drowned or swallowed by the stripe soliton, conversely, the lump soliton is spit out from the stripe soliton. Finally, a new ansatz of combination of positive quadratic functions and hyperbolic functions is introduced, and thus a novel nonlinear phenomenon is explored. It is interesting that a rogue wave can be excited. It is observed that the rogue wave, possessing a peak wave profile, arises from one of the resonance stripe solitons, moves to the other, and then disappears. Therefore, a rogue wave can be generated by the interaction between the lump soliton and the pair of resonance stripe solitons. However, compared with classic rouge wave, the dynamics of above nonlinear waves are quite different, which are graphically demonstrated.

报告三：Nonlocal nonlinear Schroedinger equation: rogue waves, parity-time-symmetric solitons and stability 

报告人：闫振亚（中国科学院研究员、博导）

时  间： 11:00-12:00

摘  要： In this talk, we mainly focus on a hierarchy of nonlocal nonlinear Schroedinger equations. Firstly, we present a two-parameter family of nonlocal nonlinear Schroedinger equations including some integrable local and nonlocal nonlinear wave systems. The symmtries of the linear parts are discussed. Secondly, we analyze the higher-order rogue waves and dynamical behaviors of the single nonlocal nonlinear Schroedinger equation. Finally, we study the single nonlocal nonlinear Schroedinger equation with some parity-time-symmetic potentials such that some stable solitons are found.