A supersymmetric NLS equation: prolongation algebra and linear spectral problems

报告专家:田凯 副教授,中国矿业大学(北京)

报告时间:8月8日(周一)上午9:00-10:00

报告地点:腾讯会议560 686 404


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.

专家简介

 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面上项目、青年项目,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。

 

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