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寧波大學

學術活動

甬江數學講壇142講(2021年第1講)

發布日期:2021-01-18 文章來源:數學與統計學院

報告題目:Recent developments in peakon equations and integrable systems 報 告 人:S. Anco(Department of Mathematics, Brock University, Canada) 報告時間:2021年1月16日 上午10:00開始 報告地點:ZOOM會議鏈接:https://zoom.us/j/7323017223?pwd=RisyVGJteUU3eU50ZlZvdFd1NTZrUT09 Meeting ID: 732 301 7223 Passcode: nbu2021 報告摘要: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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