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

Year: 2022

Authors: Pan Changchang; Bu L., Chen S., Yang Wen-Xing., Mihalache D., Grelu P., Baronio F.

Autors Affiliation: Southeast Univ, Sch Phys, Nanjing 211189, Peoples R China; Southeast Univ, Frontiers Sci Ctr Mobile Informat Commun & Secur, Nanjing 211189, Peoples R China; Purple Mt Labs, Nanjing 211111, Peoples R China; Yangtze Univ, Sch Phys & Optoelect Engn, Jingzhou 434023, Peoples R China; Horia Hulubei Natl Inst Phys & Nucl Engn, Dept Theoret Phys, RO-077125 Magurele, Romania; Univ Bourgogne Franche Comte, Lab ICB, UMR 6303 CNRS, 9 Ave A Savary, F-21078 Dijon, France; Univ Brescia, INO CNR, Via Branze 38, I-25123 Brescia, Italy; Univ Brescia, Dipartimento Ingn Inforrnaz, Via Branze 38, I-25123 Brescia, Italy.

Abstract: 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.

Journal/Review: PHYSICA D-NONLINEAR PHENOMENA

Volume: 434      Pages from: 133204-1  to: 133204-15

More Information: This work was supported by the National Natural Science Foundation of China (Grant Nos. 11974075, 11774054, 12075036) and by the Progetti di Ricerca di Interesse Nazionale (PRIN) , Italy financed by the Italian Ministry of Education, Universities and Research (MIUR) (Project No. 2020X4T57 A) . Ph.G. acknowledges support from the Engineering and Innovation through Physical Sciences, High-technologies, and Cross-disciplinary research (EUR EIPHI) Graduate School, France (Contract No. ANR-17-EURE-0004).
KeyWords: Rogue wave, Peregrine soliton, Vector Chen-Lee-Liu equation
DOI: 10.1016/j.physd.2022.133204

Citations: 8
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