General high-order rogue waves of the (1+1)-dimensional yajima-oikawa system

Junchao Chen, Yong Chen*, Bao Feng Feng, Ken Ichi Maruno, Yasuhiro Ohta

*この研究の対応する著者

研究成果査読

14 被引用数 (Scopus)

抄録

General high-order rogue wave solutions for the (1+1)-dimensional Yajima-Oikawa (YO) system are derived by using the Hirota's bilinear method and the KP hierarchy reduction method. These rogue wave solutions are presented in terms of determinants in which the elements are algebraic expressions. The dynamics of first-order and higher-order rogue wave are investigated in details for different values of the free parameters. It is shown that the fundamental (first-order) rogue waves can be classified into three different patterns: bright, intermediate and dark ones. The higher-order rogue waves correspond to the superposition of fundamental rogue waves. Especially, compared with the nonlinear Schrödinger equation, there exists an essential parameter α to control the pattern of rogue wave for both first-order and higher-order rogue waves since the YO system does not possess the Galilean invariance.

本文言語English
論文番号094007
ジャーナルjournal of the physical society of japan
87
9
DOI
出版ステータスPublished - 2018

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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