Periodic and solitary wave solutions for the one-dimensional cubic nonlinear Schrodinger model

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dc.contributor.authorBica, Ion
dc.contributor.authorMucalica, Ana
dc.date.accessioned2023-01-19T14:58:51Z
dc.date.available2023-01-19T14:58:51Z
dc.date.issued2022
dc.description.abstractUsing a similar approach as Korteweg and de Vries, [19], we obtain periodic solutions expressed in terms of the Jacobi elliptic function cn, [3], for the self-focusing and defocusing one-dimensional cubic nonlinear Schrodinger equations. We will show that solitary wave solutions are recovered through a limiting process after the elliptic modulus of the Jacobi elliptic function cn that describes the periodic solutions for the self-focusing nonlinear Schrodinger model.
dc.identifier.citationBica, I., Mucalica, A., (2022). Periodic and solitary wave solutions for the one-dimensional cubic nonlinear Schrödinger model. Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică,30(2) 45-62. https://doi.org/10.2478/auom-2022-0018
dc.identifier.doihttps://doi.org/10.2478/auom-2022-0018
dc.identifier.urihttps://hdl.handle.net/20.500.14078/2916
dc.language.isoen
dc.rightsAttribution-NonCommercial-NoDerivs (CC BY-NC-ND)
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectSchrodinger equations
dc.subjectsolitary wave solutions
dc.titlePeriodic and solitary wave solutions for the one-dimensional cubic nonlinear Schrodinger model
dc.typeArticle
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