General rogue wave solutions under SU(2) transformation in the vector Chen-Lee-Liu nonlinear Schrodinger equation

被引：10

作者：

Pan, Changchang ^{[1
,2
]}

Bu, Lili ^{[1
,2
]}

Chen, Shihua ^{[1
,2
,3
]}

Yang, Wen-Xing ^{[4
]}

Mihalache, Dumitru ^{[5
]}

Grelu, Philippe ^{[6
]}

Baronio, Fabio ^{[7
,8
]}

机构：

[1] Southeast Univ, Sch Phys, Nanjing 211189, Peoples R China

[2] Southeast Univ, Frontiers Sci Ctr Mobile Informat Commun & Secur, Nanjing 211189, Peoples R China

[3] Purple Mt Labs, Nanjing 211111, Peoples R China

[4] Yangtze Univ, Sch Phys & Optoelect Engn, Jingzhou 434023, Peoples R China

[5] Horia Hulubei Natl Inst Phys & Nucl Engn, Dept Theoret Phys, RO-077125 Magurele, Romania

[6] Univ Bourgogne Franche Comte, Lab ICB, UMR 6303 CNRS, 9 Ave A Savary, F-21078 Dijon, France

[7] Univ Brescia, INO CNR, Via Branze 38, I-25123 Brescia, Italy

[8] Univ Brescia, Dipartimento Ingn Inforrnaz, Via Branze 38, I-25123 Brescia, Italy

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2022年 / 434卷

基金：

中国国家自然科学基金;

关键词：

Rogue wave; Peregrine soliton; Vector Chen-Lee-Liu equation; PEREGRINE SOLITON; MECHANISMS; BREATHERS; PULSES;

D O I：

10.1016/j.physd.2022.133204

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain analytically the exact explicit rogue wave solutions up to the second order of the vector Chen-Lee-Liu nonlinear Schrodinger equation, using the generalized non-recursive Darboux transformation method. In terms of these solutions, we demonstrate the fundamental Peregrine solitons as well as their doublet, triplet, quartet, and sextet counterparts on the general periodic backgrounds caused by SU(2) transformation. We numerically confirm that, although the Peregrine solitons sitting on SU(2) periodic backgrounds may suffer from larger disturbances than what they experience on SO(2) periodic backgrounds, such rational solitons developed on either kind of backgrounds can manifest clearly in spite of strong non-integrable perturbations. Other rogue wave topics such as rogue wave coexistence and the related parametric conditions are also discussed. (C) 2022 Elsevier B.V. All rights reserved.

引用

页数：15

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