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

被引：1
|
作者：
Jiang, Dongzhu [1 ,2 ]
Zhaqilao [1 ,2 ]
机构：
[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China
[2] Ctr Appl Math Sci, Hohhot 010022, Inner Mongolia, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2024年 / 76卷 / 05期
基金：
中国国家自然科学基金;
关键词：
double-periodic background; hybrid rogue waves and breather; darboux transformation; Kundu-DNLS equation; NONLINEAR SCHRODINGER TYPE; DARBOUX TRANSFORMATION; SOLITONS; SYSTEMS;
D O I：
10.1088/1572-9494/ad2f24
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页数：16
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