Speaker: Chuanzhong Li, Shandong University of Science and Technology, China
Date and time: 27.05.2026, 17:00 (Moscow time, GMT +03:00)
Title: Classifications on soliton solutions of KP type systems
Abstract: 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 particular, we show that the non-crossing permutation gives the regularity condition for the soliton solutions. Meanwhile the classification on singular soliton solutions of the Boussinesq equation is also interesting.
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