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Analytical solutions and conservation laws of the generalized model for propagation pulses with four powers of nonlinearity

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dc.contributor.authorKudryashov, N. A.
dc.contributor.authorLavrova, S. F.
dc.contributor.authorNifontov, D. R.
dc.contributor.authorКудряшов, Николай Алексеевич
dc.contributor.authorЛаврова, София Федоровна
dc.contributor.authorНифонтов, Даниил Романович
dc.date.accessioned2024-12-04T11:16:47Z
dc.date.available2024-12-04T11:16:47Z
dc.date.issued2024
dc.description.abstractAnalytical solutions of the generalized nonlinear Schrѓ?dinger with four powers of nonlinearity for description of propagating pulses in optical fiber are presented. Optical solitons corresponding to the mathematical model are given. Conservation laws of the generalized model for propagation pulses with four powers of nonlinearity are written. To the best of our knowledge, the conservation laws obtained have not yet been presented in literature. The equation investigated generalizes several well-known models, which allows us to evaluate the influence of various processes on pulse propagation. Conservative quantities for the bright optical soliton, corresponding to its power, momentum and energy, are calculated. The analytical expressions for conservative quantities obtained can be applied to check whether numerical schemes for the explored equation are conservative.
dc.identifier.citationKudryashov, N. A. Analytical solutions and conservation laws of the generalized model for propagation pulses with four powers of nonlinearity / Kudryashov, N.A., Lavrova, S.F., Nifontov, D.R. // Optical and Quantum Electronics. - 2024. - 56. - № 7. - 10.1007/s11082-024-06598-y
dc.identifier.doi10.1007/s11082-024-06598-y
dc.identifier.urihttps://www.doi.org/10.1007/s11082-024-06598-y
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85193992915&origin=resultslist
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/26017
dc.relation.ispartofOptical and Quantum Electronics
dc.subjectConservation law
dc.subjectNonlinear Equations
dc.subjectNonlinear Optics
dc.subjectNonlinear Photonic Systems
dc.subjectNonlinear Schrѓ?dinger Equation
dc.subjectPeriodic Wave Solutions
dc.titleAnalytical solutions and conservation laws of the generalized model for propagation pulses with four powers of nonlinearity
dc.typeArticle
dspace.entity.typePublication
oaire.citation.issue7
oaire.citation.volume56
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