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Rogue wave patterns of Newell type long-wave–short-wave model

Author

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  • Huang, Peng
  • Wang, Yuke
  • Zhou, Dan

Abstract

The general rogue wave solutions of long-wave–short-wave model are obtained by using the Kadomtsev–Petviashvili (KP) hierarchy reduction method. Unlike previous studies, we have refined the differential operators involved in the solutions by eliminating the recursiveness. Based on the simplified expression, the rogue wave patterns from the second to fifth order are displayed. Specifically, there are N−1 (N≥2) polygonal patterns of Nth-order rogue waves, which are found to be connected to the Yablonskii–Vorob’ev polynomial hierarchy.

Suggested Citation

  • Huang, Peng & Wang, Yuke & Zhou, Dan, 2023. "Rogue wave patterns of Newell type long-wave–short-wave model," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    • Handle: RePEc:eee:chsofr:v:175:y:2023:i:p2:s0960077923009396
    DOI: 10.1016/j.chaos.2023.114038
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    References listed on IDEAS

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    1. Rao, Jiguang & Mihalache, Dumitru & He, Jingsong & Zhou, Fang, 2023. "Degenerate and non-degenerate vector solitons and their interactions in the two-component long-wave–short-wave model of Newell type," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
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    Cited by:

    1. Ustinov, N.V., 2024. "New type of rogue waves," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).

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