Revisit of rogue wave solutions in the Yajima-Oikawa system

被引：6

作者：

He, Aolin ^{[1
]}

Huang, Peng ^{[1
]}

Zhang, Guangxiong ^{[1
]}

Huang, Jiaxing ^{[2
]}

机构：

[1] Shenzhen Univ, Inst Adv Study, 3688 Nanhai Ave, Shenzhen 518060, Guangdong, Peoples R China

[2] Shenzhen Univ, Coll Math & Stat, 3688 Nanhai Ave, Shenzhen 518060, Guangdong, Peoples R China

来源：

NONLINEAR DYNAMICS | 2023年 / 111卷 / 10期

基金：

中国国家自然科学基金;

关键词：

One-dimensional Yajima-Oikawa system; Rogue wave; KP hierarchy; Universal patterns; INTERNAL GRAVITY-WAVE; RESONANT INTERACTION; SOLITON; LONG;

D O I：

10.1007/s11071-023-08306-z

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The general rogue wave solutions for the one-dimensional (1D) Yajima-Oikawa (YO) system are derived through Hirota's bilinear method and the Kadomtsev-Petviashvili hierarchy reduction method. Different from the previous work, we improve the construction of the differential operators to save the complicated recursiveness and obtain the rogue wave solutions in a purely algebraic expression. Based on this simple expression, the new shape of the third-order rogue waves' arrangement is found. Moreover, three types of fundamental rogue waves and the rogue wave patterns from second to fifth order are graphically illustrated. In particular, there exist N - 1 (2 <= N) polygonal configurations of Nth-order rogue waves for the 1D YO system, which is proven to be related to the Yablonskii-Vorob'ev polynomial hierarchy.

引用

页码：9439 / 9455

页数：17

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