On Non-Smooth Solitons of a Class of Nonlinear Integrable PDEs and Multiple Integral Formulae
Time: 2021-11-04
Published By: Wenqiong Li
Speaker(s): Xiangke Chang (ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences)
Time: 14:00-15:00 November 9, 2021
Venue: Room 29, Quan Zhai, BICMR
A class of nonlinear integrable PDEs admit non-smooth solitary wave solutions as certain special weak solutions. These solutions can be used to capture main attributes of solutions of these PDEs, e.g. the breakdown of regularity and the nature of long time asymptotics. In fact, under appropriate assumptions, these solutions can be explicitly solved by use of the inverse spectral method so that multiple integral formulae arise, which can motivate new types of random matrix models or orthogonal functions. This talk is devoted to an introduction on these aspects.
