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Lax integrability and the peakon problem for the modified Camassa-Holm equation
时间  Datetime
2018-01-12 16:00 — 17:00 
地点  Venue
1207, Math Building
报告人  Speaker
常向科
单位  Affiliation
中国科学院数学与系统科学研究院
邀请人  Host
Guofu Yu
报告摘要  Abstract

We give a complete construction of peakon solutions satisfying the modified Camassa-Holm equation in the sense of distributions; our approach is based on solving certain inverse boundary value problem the solution of which hinges on a combination of classical techniques of analysis involving Stieltjes' continued fractions and multi-point Pad\'{e} approximations. We propose sufficient conditions needed to ensure the global existence of peakon solutions and analyze the large time asymptotic behaviour whose special features include a formation of pairs of peakons which share asymptotic speeds, as well as Toda-like sorting property.