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<p>We are concerned with the modified Camassa–Holm (mCH)–Novikov equation, which is derived by an asymptotic method from the classical shallow water theory. We study the curvature blow-up of the mCH-Novikov equation by the method of characteristics and present the multi-peakon solutions of the mCH-Novikov equation and Camassa–Holm (CH) type equation. Numerical simulations are performed to demonstrate our theoretical analysis.</p>

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Curvature blow-up and the multi-peakon solutions for the mCH-Novikov equation

  • 期刊论文

  • 发表日期：

    2025年2月16日

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  • Min Zhu,
  • Ziyi Zhu,
  • Yifu Song

摘要

We are concerned with the modified Camassa–Holm (mCH)–Novikov equation, which is derived by an asymptotic method from the classical shallow water theory. We study the curvature blow-up of the mCH-Novikov equation by the method of characteristics and present the multi-peakon solutions of the mCH-Novikov equation and Camassa–Holm (CH) type equation. Numerical simulations are performed to demonstrate our theoretical analysis.