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<p>In this work, we propose a modified Kadomtsev-Petviashvili hierarchy reduction technique to generate rogue waves and lumps of a generalized (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation. These solutions are categorized into two classes based on the roots of the algebraic equations. Interestingly, the algebraic equations could admit an arbitrary number of simple roots or multiple roots. The distinct root configurations lead to rich geometric arrangement of higher-order rogue waves and lumps.</p>

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Rogue waves and lumps for a generalized (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation in fluids

  • 期刊论文

  • 发表日期：

    2025年6月24日

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  • Liangrong Ye,
  • Gui Mu,
  • Zhenyun Qin,
  • Zhiqiang Yang,
  • Tingfu Feng

摘要

In this work, we propose a modified Kadomtsev-Petviashvili hierarchy reduction technique to generate rogue waves and lumps of a generalized (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation. These solutions are categorized into two classes based on the roots of the algebraic equations. Interestingly, the algebraic equations could admit an arbitrary number of simple roots or multiple roots. The distinct root configurations lead to rich geometric arrangement of higher-order rogue waves and lumps.