Conservative finite difference schemes for the modified Camassa-Holm equation

• Miyatake Yuto

  Graduate School of Information Science and Technology, The University of Tokyo

• Matsuo Takayasu

  Graduate School of Information Science and Technology, The University of Tokyo

• Furihata Daisuke

  Cybermedia Center, Osaka University

抄録

We consider the numerical integration of the modified Camassa-Holm equation, which has been recently proposed by McLachlan and Zhang (2009) as a generalization of the prominent Camassa-Holm equation. We present nonlinear and linear finite difference schemes for the modified equation that preserve two invariants at a same time. We also show some numerical examples of the presented schemes, where it is found that certain solutions of the mCH can behave like solitons.

収録刊行物

• JSIAM Letters

  JSIAM Letters 3 (0), 37-40, 2011

  一般社団法人 日本応用数理学会

キーワード

• modified Camassa-Holm equation
• conservation law
• discrete variational derivative method

詳細情報

• CRID: 1390001205299986304
• NII論文ID: 130000853485
• DOI: 10.14495/jsiaml.3.37
• ISSN: 18830617
• ISSN: 18830609
• Web Site: https://www.jstage.jst.go.jp/article/jsiaml/3/0/3_0_37/_pdf
• 本文言語コード: en
• データソース種別:
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