主题： Integrable Systems and the Contact with Shallow Water Waves, Nonlinear Optics, and Statistical Mechanics
时间：9月17日 13:00-15:00
地点：15号楼518会议室
主持人：杨军
报告人简介：
Professor Pavlis Xenitidis who come from the University of Liverpool Hope University. He is in charge of many European countries' responsible persons. Professor Pavlis has been dedicated to discrete integrable systems and solitary wave theory for many years. He has published over 30 papers, many of which have been published in Journal of Physics A, Proceedings of the Royal Society A, Journal of Integrable Systems.
讲座简介：
Integrable systems are mathematical models often differential or difference equations—that can be solved exactly. They are characterized by possessing a large number of conserved quantities (often as many as degrees of freedom), which makes them completely integrable 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 scattering transform.
Rich symmetry structure: They often have an underlying algebraic or geometric structure (Lax pairs, bi-Hamiltonian form, infinite-dimensional Lie algebras).
Stability of solutions They admit soliton solutions—localized waves that retain their shape after interactions.
