报告题目： Kupershmidt’s Extended Equation of Dispersive Water Waves and Its Tri-Hamiltonian Dual System

报告时间： 2019年4月27日，星期六，上午，9:00-10:00

报告地点： 数学与统计学院 2-2 会议室

报告人：田 凯，副教授，中国矿业大学（北京）理学院

报告摘要：

In this talk, we present some results about an extended equation of dispersive water waves proposed by Kupershmidt in 2006. By an ansatz on eigenfunctions of its recursion operator, a linear spectral problem, which turns to be type of the energy dependent Schrödinger, is constructed for the system. As by-products, modified systems are established. Furthermore, a new bi-Hamiltonian system is obtained and shown to be related to a three-component generalization of the Camassa-Holm equation under a Miura-type transformation.

报告人简介：

田凯，中国矿业大学（北京）理学院副教授，主要从事可积系统及其应用方面的研究，主持国家自然科学基金青年项目并参与重点项目，在 Nonlinearity、Stud. Appl. Math.、J. Geomety Phys. 等本领域著名学术期刊上发表多篇论文。