On the Integrable Lattices of Octahedron Type
- Date: Friday 13 December 2019, 16:00 – 17:00
- Location: Mathematics Level 8, MALL 1, School of Mathematics
- Type: Integrable Systems, Seminars, Applied Mathematics
- Cost: Free
Xiaoxue Xu, Visiting Research Fellow from Zhengzhou University at the University of Leeds
The discrete integrable system is an important part in the theory of soliton. A classification of 2-dimensional discrete integrable systems is given in the ABS hierarchy, which satisfy the consistency-around-the-cube (CAC) property. In the 3-dimensional situation, five integrable lattices were discovered basing on the consistency around the octahedron.
In this talk, I will discuss the finite genus solutions of the (Semi-)discretized pKP and pMKP equations with the help of the nonlinearization technique. In particular, we have made a surprising observation about the continuum limit of the lattice Schwarzian KP equation.
Joint work with Cewen Cao and Da-jun Zhang.