2025年02月07日 星期五 登录 EN

学术活动
Non-crossing permutations for the KP solitons under the Gel'fand-Dickey reductions and the vertex operators
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报告人:
Chuanzhong Li, Professor, Shandong University of Science and Technology
邀请人:
Xiangke Chang, Associate Professor
题目:
Non-crossing permutations for the KP solitons under the Gel'fand-Dickey reductions and the vertex operators
时间地点:
16:00-17:00 July 13 (Saturday), N402
摘要:

In this talk, we will give a classification of the regular soliton solutions of the KP hierarchy, referred to as the KP solitons, under the Gel'fand-Dickey reductions in terms of the permutation of the symmetric group. As an example, we show that the regular soliton solutions of the (good) Boussinesq equation as the 3-reduction can have at most one resonant soliton in addition to two sets of solitons propagating in opposite directions. We also give a systematic construction of these soliton solutions for the reductions using the vertex operators. In particular, we show that the non-crossing permutation gives the regularity condition for the soliton solutions. This is a joint work with my Phd student Shilong Huang and Professor Yuji Kodama.