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Abstract <p>In this paper, we investigate the blow-up phenomena for the Novikov equation and the FORQ equation with high-order nonlinear term <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\gamma u^{p}u_{x}\)</EquationSource> <!--ContMath2560027Zhou-m1--> </InlineEquation>. It is the special structure of these two equations that we can apply to establish sufficient conditions on the initial data to guarantee blow-up phenomena in finite time.</p>

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Blow-Up Phenomena for the Novikov Equation and the FORQ Equation with High-Order Nonlinear Term

  • 期刊论文

  • 发表日期：

    2026年4月18日

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  • Y. Zhou,
  • Y. Jin,
  • M. Zhu

摘要

Abstract

In this paper, we investigate the blow-up phenomena for the Novikov equation and the FORQ equation with high-order nonlinear term \(\gamma u^{p}u_{x}\) . It is the special structure of these two equations that we can apply to establish sufficient conditions on the initial data to guarantee blow-up phenomena in finite time.