Periodic Peakons and Compacton Families On the Hirota-Type Peakon Equation
时间 Datetime
2021-09-15 14:00 — 15:30
地点 Venue
腾讯会议 APP3()
报告人 Speaker
李继彬
单位 Affiliation
华侨大学
邀请人 Host
肖冬梅
备注 remarks
会议 ID：206 339 723
报告摘要 Abstract
For the Hirota-type peakon equation posed by Anco, et.al., in 2021, we use the methodologies of dynamical systems and singular traveling wave theory developed by Li and Chen to find the solutions with the form u(x, t) = φ(x – ct)e^( i(κx–ωt)) . For the function φ(ξ), under the parameter conditions κ = 5/ 3 , c = 807ω/100 or c is not 807ω/100 , the existence of some possible bounded solutions (solitary wave solutions, periodic wave solutions and periodic peakons, as well as compactons is obtained. Some exact explicit parametric representations are given. We con not find peakon solution with respect to φ(ξ).
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