题目: Multidimensional integrable deformations of PDEs

报告人：Matteo Casati，宁波大学

时间：2024年4月16日下午2:30-4:00

地点：管理科研楼1418教室

摘要: Over the last several months and in a series of papers, S.Y. Lou and collaborators have presented several examples of new (D+1)-dimensional integrable PDEs, obtained by a deformation of known integrable (1 + 1)-dimensional systems. The procedure is called deformation algorithm and it can be applied to both evolutionary and non-evolutionary (in this latter case we speak of generalized deformation algorithm) PDEs. In this talk I will describe the straightforward procedure and prove that it indeed allows to obtain Lax-integrable multidimensional systems by deforming Lax-integrable 1-dimensional systems. This is a joint work with Danda Zhang (Ningbo).Ref: 2023 J.Phys. A Math. Theor. 56 505701 https://doi.org/10.1088/1751-8121/ad0ac8