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<p>In this work, we study the generalized Novikov equation with cubic nonlinearity. We obtain the local well-posedness and blow-up scenario. Sufficient conditions on the initial data to guarantee blow-up phenomena are established. We also obtain a new blow-up result for the integrable Novikov equation.</p>

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Blow-up Phenomena for the Generalized Novikov Equation with Cubic Nonlinearity

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月15日

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  • Mingxuan Zhu,
  • Yuanmeng Zhou,
  • Yanyi Jin

摘要

In this work, we study the generalized Novikov equation with cubic nonlinearity. We obtain the local well-posedness and blow-up scenario. Sufficient conditions on the initial data to guarantee blow-up phenomena are established. We also obtain a new blow-up result for the integrable Novikov equation.