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

Peng Huang, Yuke Wang and Dan Zhou

Chaos, Solitons & Fractals, 2023, vol. 175, issue P2

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.

Keywords: Kadomtsev–Petviashvili hierarchy reduction method; Long-wave–short-wave system; Yablonskii–Vorob’ev polynomial; Pattern formation (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:175:y:2023:i:p2:s0960077923009396

DOI: 10.1016/j.chaos.2023.114038

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