Topic: Integrable Systems and  the Contact with Shallow Water W**es, Nonlinear Optics, and Statistical Mechanics

Time:  September 17, 13: 00-15: 00 

Venue: Conference Room 518, Building 15

Chaired by: Yang Jun

About the reporter:

Professor P**lis Xenitidis is from the University of Liverpool Hope University.He has been dedicated to discrete integrated systems and solid w**e theory for many years.He has published over 30 papers, Many of which h**e been published in Journal of Physics A, Procedures of the Royal Society A, Journal of Integrated Systems.

Introduction to lecture:

 Integral systems are mathematical models often different or different conditions - that can be resolved exactly. they are characterized by positioning a large number of protected conditions (often as many as degrees of freedom), Which makes them perfectly integrated in the sense of Liouville.

 Key properties include:

 Exact solvability: Solutions can often be expressed in closed form, using special functions (e.g., elliptic functions) or via methods like the inverse scaling transformation.

 Rich symbol structure: They often h**e an underlying algebraic or geometric structure (Lax pairs, bi-Hamiltonian form, infinitesimal Lie algebras).

  Stability of solutions They apply solutions - localized w**es that retain their shape after interactions.