报告题目：Recent developments in peakon equations and integrable systems
报 告 人：S. Anco（Department of Mathematics, Brock University, Canada）
Meeting ID: 732 301 7223
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.