题目：Several two-component bi-Hamiltonian systems and their integrability
摘要：Recently, by combining the tri-duality of Olver and Rosenau with the classification of second and third order homogeneous Hamiltonian operators, Lorenzoni and his collaborators classified compatible trios of two-component homogeneous Hamiltonian operators. Then, those trios were used to construct bi-Hamiltonian systems which, as they claimed, includes some known systems and some apparently new ones. In this talk, we consider those apparently new systems and construct their Lax representations. Furthermore, we explore the possible connections between these systems and the existing ones.
时间：2024年3月19日下午16:00
地点：中国科学院大学中关村校区教学楼二层 N208
主持人： 王东教授
报告人简介：刘青平，中国矿业大学（北京）理学院教授，曾获北京市教学名师奖。多项研究课题受到教育部和国家自然科学基金委员会的资助。发表高水平学术研究论文50多篇。先后入选江苏省“333人才工程”，获得第八届孙越琦青年科技奖、教育部资助优秀年轻教师基金，列入煤炭系统专业技术拔尖人才、教育部跨世纪优秀人才培养计划。
