Publication:
Optical solitons and stability analysis with coupled nonlinear schrodinger's equations having double external potentials

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W2978448672.pdf(915.62 KB)
Дата
2019
Авторы
Abdel-Gawad, H. I.
Alshomrani, A. S.
Belic, M.
Biswas, A.
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Научные группы
Организационные подразделения
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Аннотация
© 2019We consider coupled nonlinear Schrodinger equation (CNLSE) of the Gross-Pitaevskii-type, with linear mixing and nonlinear cross-phase modulation. Motivated by the study of matter waves in Bose-Einstein condensates and multicomponent (vectorial) nonlinear optical systems, we investigate the eigenvalue problem of the CNLSE with double external potentials in a self-defocusig Kerr medium. For this system, we obtain different kinds of wave structures induced by two injected beams, of physical relevance in nonlinear optics and Bose-Einstein condensation. Exact solutions are found by the extended unified method. The linear stability of these solutions is analyzed through the formulation of an eigenvalue problem. The spectral problem is constructed by perturbing the frequency of stationary solutions and by linearizing the resulting equations near the stationary (or steady) states. Our study may simulate experimental work on multiple injected laser beams in a medium with Kerr-type nonlinearity.
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Optical solitons and stability analysis with coupled nonlinear schrodinger's equations having double external potentials / Abdel-Gawad, H.I. [et al.] // Results in Physics. - 2019. - 15. - 10.1016/j.rinp.2019.102707
URI
https://www.doi.org/10.1016/j.rinp.2019.102707
 https://www.scopus.com/record/display.uri?eid=2-s2.0-85074754446&origin=resultslist
 http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000502391000182
 https://openrepository.mephi.ru/handle/123456789/18861
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