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<p>In this paper, we consider breaking waves for a Hamiltonian regularised Burgers equation which derived from the dispersionless shallow water equations, also called the regularised Saint-Venant equations. We establish some sufficient conditions on the initial data to guarantee wave breaking which extending the previous wave breaking condition.</p>

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Breaking Waves for a Hamiltonian Regularised Burgers Equation

  • 期刊论文

  • 发表日期：

    2025年12月9日

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  • Jian Chen,
  • Hao Tong,
  • Shaojie Yang

摘要

In this paper, we consider breaking waves for a Hamiltonian regularised Burgers equation which derived from the dispersionless shallow water equations, also called the regularised Saint-Venant equations. We establish some sufficient conditions on the initial data to guarantee wave breaking which extending the previous wave breaking condition.