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Article: Breathers and 'black' rogue waves of coupled nonlinear Schrödinger equations with dispersion and nonlinearity of opposite signs

TitleBreathers and 'black' rogue waves of coupled nonlinear Schrödinger equations with dispersion and nonlinearity of opposite signs
Authors
Issue Date2015
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cnsns
Citation
Communications in Nonlinear Science and Numerical Simulation, 2015, v. 28 n. 1-3, p. 28-38 How to Cite?
AbstractBreathers and rogue waves of special coupled nonlinear Schrödinger systems (the Manakov equations) are studied analytically. These systems model the orthogonal polarization modes in an optical fiber with randomly varying birefringence. Studies earlier in the literature had shown that rogue waves can occur in these Manakov systems with dispersion and nonlinearity of opposite signs, and that the criterion for the existence of rogue waves correlates closely with the onset of modulation instability. In the present work the Hirota bilinear transform is employed to calculate the breathers (pulsating modes), and rogue waves are obtained as a long wave limit of such breathers. In terms of wave profiles, a ‘black’ rogue wave (intensity dropping to zero) and the transition to a four-petal configuration are elucidated analytically. Sufficiently strong modulation instabilities of the background may overwhelm or mask the development of the rogue waves, and such thresholds are correlated to actual physical properties of optical fibers. Numerical simulations on the evolution of breathers are performed to verify the prediction of the analytical formulations.
Persistent Identifierhttp://hdl.handle.net/10722/226332
ISSN
2015 Impact Factor: 2.834
2015 SCImago Journal Rankings: 1.575

 

DC FieldValueLanguage
dc.contributor.authorLi, JH-
dc.contributor.authorChan, HN-
dc.contributor.authorChiang, KS-
dc.contributor.authorChow, KW-
dc.date.accessioned2016-06-17T07:43:25Z-
dc.date.available2016-06-17T07:43:25Z-
dc.date.issued2015-
dc.identifier.citationCommunications in Nonlinear Science and Numerical Simulation, 2015, v. 28 n. 1-3, p. 28-38-
dc.identifier.issn1007-5704-
dc.identifier.urihttp://hdl.handle.net/10722/226332-
dc.description.abstractBreathers and rogue waves of special coupled nonlinear Schrödinger systems (the Manakov equations) are studied analytically. These systems model the orthogonal polarization modes in an optical fiber with randomly varying birefringence. Studies earlier in the literature had shown that rogue waves can occur in these Manakov systems with dispersion and nonlinearity of opposite signs, and that the criterion for the existence of rogue waves correlates closely with the onset of modulation instability. In the present work the Hirota bilinear transform is employed to calculate the breathers (pulsating modes), and rogue waves are obtained as a long wave limit of such breathers. In terms of wave profiles, a ‘black’ rogue wave (intensity dropping to zero) and the transition to a four-petal configuration are elucidated analytically. Sufficiently strong modulation instabilities of the background may overwhelm or mask the development of the rogue waves, and such thresholds are correlated to actual physical properties of optical fibers. Numerical simulations on the evolution of breathers are performed to verify the prediction of the analytical formulations.-
dc.languageeng-
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cnsns-
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulation-
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License-
dc.titleBreathers and 'black' rogue waves of coupled nonlinear Schrödinger equations with dispersion and nonlinearity of opposite signs-
dc.typeArticle-
dc.identifier.emailChow, KW: kwchow@hku.hk-
dc.identifier.authorityChow, KW=rp00112-
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.cnsns.2015.03.019-
dc.identifier.hkuros258694-
dc.identifier.volume28-
dc.identifier.issue1-3-
dc.identifier.spage28-
dc.identifier.epage38-
dc.publisher.placeNetherlands-

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