On an integrable multi-component Camassa-Holm system arising from Mobius geometry

讲座名称：On an integrable multi-component Camassa-Holm system arising from Mobius geometry

讲座人：康静 教授

讲座时间：9月18日8:30-11:30

地点：腾讯会议 194409278 密码： 123456

讲座人介绍：

西北大学数学学院教授、博士生导师。主要研究方向为数学物理和非线性可积系统。具体的研究课题包括：对称和李群在微分方程中的应用、非线性可积系统可积性及孤立波解、Liouville相关性理论及其应用。主持多项国家自然科学基金，一项陕西省自然科学基金杰出青年项目，入选“2017年度陕西省高校青年杰出人才支持计划”。

讲座内容：

In this talk, we mainly study the geometric background, integrability and peaked solutions of a (1+n)-component Camassa-Holm (CH) system and some related multi-component integrable systems. Firstly, we show this system arises from the invariant curve flows in the Mobius geometry and serves as the dual integrable counterpart of a geometrical (1+n)-component KdV system in the sense of tri-Hamiltonian duality. Moreover, we obtain an integrable two-component modified CH system using a generalized Miura transformation. Finally, we provide a necessary condition, under which the dual integrable systems can inherit the Backlund correspondence from the original ones.

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