理论物理通讯(英文版)2024,Vol.76Issue(5) :33-48.DOI:10.1088/1572-9494/ad2f24

Hybrid rogue waves and breather solutions on the double-periodic background for the Kundu-DNLS equation

DongZhu Jiang Zhaqilao
理论物理通讯(英文版)2024,Vol.76Issue(5) :33-48.DOI:10.1088/1572-9494/ad2f24

Hybrid rogue waves and breather solutions on the double-periodic background for the Kundu-DNLS equation

DongZhu Jiang 1Zhaqilao1
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作者信息

  • 1. College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,China;Center for Applied Mathematical Science,Inner Mongolia,Hohhot 010022,China
  • 折叠

Abstract

In this paper,by using the Darboux transformation(DT)method and the Taylor expansion method,a new nth-order determinant of the hybrid rogue waves and breathers solution on the double-periodic background of the Kundu-DNLS equation is constructed when n is even.Breathers and rogue waves can be obtained from this determinant,respectively.Further to this,the hybrid rogue waves and breathers solutions on the different periodic backgrounds are given explicitly,including the single-periodic background,the double-periodic background and the plane wave background by selecting different parameters.In addition,the form of the obtained solutions is summarized.

Key words

double-periodic background/hybrid rogue waves and breather/darboux transformation/Kundu-DNLS equation

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基金项目

国家自然科学基金(12361052)

Natural Science Foundation of Inner Mongolia Autonomous Region,China under(2020LH01010)

Natural Science Foundation of Inner Mongolia Autonomous Region,China under(2022ZD05)

Program for Innovative Research Team in Universities of Inner Mongolia Autonomous Region(NMGIRT2414)

Fundamental Research Founds for the Inner Mongolia Normal University(2022JBTD007)

出版年

2024
理论物理通讯(英文版)
中国科学院理论物理研究所 中国物理学会

理论物理通讯(英文版)

CSTPCD
影响因子:0.333
ISSN:0253-6102
参考文献量51
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