An integrable semi-discretization of the Camassa-Holm equation and its determinant solution

Yasuhiro Ohta, Ken Ichi Maruno, Bao Feng Feng

研究成果: Article査読

37 被引用数 (Scopus)

抄録

An integrable semi-discretization of the Camassa-Holm (CH) equation is presented. The keys of its construction are bilinear forms and determinant structure of solutions of the CH equation. Determinant formulas of N-soliton solutions of the continuous and semi-discrete Camassa-Holm equations are presented. Based on determinant formulas, we can generate multi-soliton, multi-cuspon and multi-soliton-cuspon solutions. Numerical computations using the integrable semi-discrete Camassa-Holm equation are performed. It is shown that the integrable semi-discrete Camassa-Holm equation gives very accurate numerical results even in the cases of cuspon-cuspon and soliton-cuspon interactions. The numerical computation for an initial value condition, which is not an exact solution, is also presented.

本文言語English
論文番号355205
ジャーナルJournal of Physics A: Mathematical and Theoretical
41
35
DOI
出版ステータスPublished - 2008 9 5
外部発表はい

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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