学术报告
报告题目： On interlacing multipeakons of a two-component modified Camassa-Holm equation
报告人：常向科，研究员，博士生导师
报告时间：2020年10月10日 9:00-10:30
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报告摘要：In this talk, we introduce the so-called interlacing multipeakons of a two-modified Camassa-Holm equation and the associated spectral and inverse spectral problems. It is shown that the spectral problem is equivalent to an inhomogeneous string problem with Dirichlet/Neumann boundary conditions. The inverse problem is solved by Stieltjes’s continued fraction expansion, leading to an explicit construction of peakon solutions. Sufficient conditions for global existence of solutions are given. The large time asymptotics reveals that, asymptotically, peakons pair up to form bound states moving with constant speeds. The peakon flow is shown to project to one of the isospectral flows of the finite Kac–van Moerbeke lattice.
专家简介：常向科，现任中科院数学与系统科学研究院研究员。主要从事可积系统及相关领域的交叉研究，部分研究成果发表于《Adv. Math.》、《Comm. Math. Phys.》、《Nonlinearity》、《Numer. Math.》、《Sci. China Math.》、《Sci. China: Information Sci.》、《SIAM J. Discrete Math.》、《Stud. Appl. Math.》等期刊。