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.
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