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Classical Boussinesq system and its integrable discretizations

刘青平 教授(中国矿业大学)
Friday, July 3rd, 2020, 2:00 PM  腾讯会议(会议 ID:338 873 259)
*主持人:傅蔚 副教授
*时间: 2020年7月3日 14:00-15:00
*地点: 腾讯会议(会议 ID:338 873 259)

In this talk, we propose and study integrable discrete systems related to the classical Boussinesq system. Based on elementary and binary Darboux transformations and associated B?cklund transformations, both full-discrete systems and semi-discrete systems are constructed. The discrete systems obtained from elementary Darboux transformation are shown to be the discrete systems of relativistic Toda lattice type appeared in the work of Suris (1997) and the ones from binary Darboux transformations are two-component extensions of the lattice potential KdV equation and Kac-van Moerbeke equation. For these discrete systems, their different continuum limits, various interesting reductions and Darboux-B?cklund transformations are considered. Some solutions such as discrete resonant solitons are also presented. This is a joint work with Wenhua Huang and Lingling Xue.

刘青平,中国矿业大学(北京)理学院教授,博士生导师,享受国务院政府特殊津贴,第三届北京市高等学校教学名师。主要从事可积系统方面的研究。1992年在英国利兹大学博士学位。先后在中国科学院理论物理研究所、西班牙马德里康普顿斯大学做博士后。1999年、2001年、2004年三次受邀访问(意大利)国际理论物理中心,2009年受邀访问香港浸会大学。曾主持和参与多项国家自然科学基金面上项目、重点项目。在《Commun. Math. Phys.》、《J. Phys. A: Math. Theor.》、《Phys. Rev. E》等国际重要期刊上发表论文。
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