“可积系统及其应用”学术报告

报告题目：The fully supersymmetric AKNS problem: Darboux transformations and discrete systems

报告人：薛玲玲 副教授 宁波大学

报告摘要：In this talk, I will first review the Darboux and Bäcklund transformations for the super KdV equation, and then investigate the Darboux and Bäcklund transformations for the fully supersymmetric AKNS spectral problem. By assuming that the Darboux matrix is linear with respect to the spectral parameter, two Darboux and Bäcklund transformations as well as a compound Darboux transformation for the fully supersymmetric AKNS spectral problem are obtained. These three Darboux transformations can reduce to the ones for the supersymmetric NLS equation while the third one may reduce to the one for Manin-Radul supersymmetric Korteweg-de Vries, generalized supersymmetric KdV/NLS equations. Also, the first Darboux-Bäcklund transformation is applied to construct integrable discrete super systems, and both semi-discrete and fully discrete systems are obtained. The associated continuum limits are given as well.

报告时间：2022年7月14日 星期四 15:00—17:30

报告地点：腾讯会议：762 260 935， 会议密码：0714