甬江数学讲坛142讲(2021年第1讲)-首页 - 伟德存9送54网址

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发布日期:2021-01-18 文章来源:数学与统计学院

报告题目:Recent developments in peakon equations and integrable systems 报 告 人:S. Anco(Department of Mathematics, Brock University, Canada) 报告时间:2021年1月16日 上午10:00开始 报告地点:ZOOM会议链接:http://zoom.us/j/7323017223?pwd=RisyVGJteUU3eU50ZlZvdFd1NTZrUT09 Meeting ID: 732 301 7223 Passcode: nbu2021 报告摘要:Peakons are peaked travelling waves that were first found as solutions to the Camassa-Holm equation arising in the theory of shallow water waves. The Camassa-Holm equation is an integrable system which possesses multi-peakon solutions. These discoveries started an extensive study of peakon equations, both integrable and non-integrable. This talk will survey some recent work on a few main aspects of peakon equations: (i) multi-peakon solutions exist for a wide class of nonlinear dispersive wave equation and does not require integrability; (ii) generalized peakons with non-trivial dynamics exist for certain nonlinear dispersive wave equations; (iii) many integrable peakon equations arise as reductions of certain universal multi-component peakon integrable systems.

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