报告人：黄世龙（山东科技大学 博士）
报告时间：2024年11月24日（周天）上午 9：30
报告地点: 集美大学章辉楼442
联系人：王海峰副教授
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报告摘要：
We give a classification of the regular soliton solutions of the KP hierarchy, referred to as the KP solitons, under the Gel’fand-Dickey L-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 L-reductions using the vertex operator. In particular, we show that the non-crossing permutation gives the regularity condition for the soliton solutions.
报告人简介：黄世龙，广东佛山人，中共党员，华侨大学硕士，山东科技大学在读博士。研究方向为可积系统中的Gel’fand-Dickey约化下的KP孤子以及顶点算子的构造。现阶段，主要在李传忠教授和Yuji Kodama教授的指导下利用非交叉置换来构造Gel’fand-Dickey约化下正则孤子解。
