The Peakon Limit of the N-Soliton Solution of the Camassa-Holm Equation(General)

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概要

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• We show that the analytic N-soliton solution of the Camassa-Holm (CH) shallow-water model equation converges to the nonanalytic N-peakon solution of the dispersionless CH equation when the dispersion parameter tends to zero. To demonstrate this, we develop a novel limiting procedure and apply it to the parametric representation for the N-soliton solution of the CH equation. In the process, we use Jacobi's formula for determinants as well as various identities among the Hankel determinants to facilitate the asymptotic analysis. We also provide a new representation of the N-peakon solution in terms of the Hankel determinants.

• 社団法人日本物理学会の論文
• 2007-03-15

著者

• Matsuno Yoshimasa

  Division Of Applied Mathematical Science Graduate School Of Science And Engineering Yamaguchi Univer

• Matsuno Yoshimasa

  Division Of Applied Mathematical Science Graduate School Of Science And Engineering Yamaguchi Univer

関連論文

• The Peakon Limits of Soliton Solutions of the Camassa-Holm Equation(General)
• Multiloop Soliton and Multibreather Solutions of the Short Pulse Model Equation(General)
• The Peakon Limit of the N-Soliton Solution of the Camassa-Holm Equation(General)

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