2成分Camassa-Holm方程式の多重ソリトン解とその簡約 (非線形波動現象の数理とその応用)

• 松野, 好雅

  山口大学大学院創成科学研究科

書誌事項

タイトル別名

• Multisoliton solutions of the two-component Camassa-Holm equation and their reductions (Mathematical Aspects and Applications of Nonlinear Wave Phenomena)
• 2成分Camassa-Holm方程式の多重ソリトン解とその簡約
• 2 セイブン Camassa-Holm ホウテイシキ ノ タジュウ ソリトンカイ ト ソノ カンヤク

抄録

The two-component Camassa-Holm (CH2) equation models the propagation of nonlinear surface gravity waves on shallow water. It has several remarkable features. Among them, it is a completely integrable system. By employing a direct method in soliton theory, we develop a systematic procedure for constructing multisoliton solutions of the CH2 equation, and explore their properties. Then, we show that the two integrable reductions are possible for the CH2 equation by means of appropriate scaling limits, leading to the CH and two component Hunter-Saxton equations. The reduced form of multisoliton solutions is presented for both equations.

収録刊行物

• 数理解析研究所講究録

  数理解析研究所講究録 2034 166-179, 2017-07

  京都大学数理解析研究所

詳細情報

• CRID: 1050845763139477504
• NII論文ID: 120006579027
• NII書誌ID: AN00061013
• ISSN: 18802818
• HANDLE: 2433/236801
• NDL書誌ID: 028508704
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I028508704
• 本文言語コード: en
• 資料種別: departmental bulletin paper
• データソース種別:
  • IRDB
  • NDL
  • CiNii Articles