A supersymmetric NLS equation: prolongation algebra and linear spectral problems
数学专题报告
报告题目(Title)：A supersymmetric NLS equation: prolongation algebra and linear spectral problems
报告人(Speaker)：田凯 副教授（中国矿业大学（北京））
地点(Place)：腾讯会议ID：453 850 0147
时间(Time)：2022年12月11日(周日)，10:30-11:30
邀请人(Inviter)：王灯山、臧立名
报告摘要
For a supersymmetric nonlinear Schrödinger (NLS) equation, the Wahlquist-Estabrook prolongation algebra L is calculated, and successfully embedded in the Lie superalgebra A(1,1). A non-trivial matrix realization of L is eastablished. Consequently, a proper linear spectral problem is constructed for the supersymmetric NLS equation. We also derive its integrable properties, including a recursion operator, Hamiltonian structure. This is a joint work with Prof. Q. P. Liu and Dr. Liming Zang.
主讲人简介
田凯，中国矿业大学（北京）副教授，博士生导师，从事可积系统的相关研究工作。主持国家自然科学基金青年项目、面上项目，参加国家自然科学基金重点项目。在Nonlinearity、Studies in Applied Mathematics、Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences等数学物理类刊物上发表多篇研究论文。
