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Highly dispersive solitary wave solutions of perturbed nonlinear Schrodinger equations

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dc.contributor.authorKudryashov, N. A.
dc.contributor.authorКудряшов, Николай Алексеевич
dc.date.accessioned2024-11-25T15:10:22Z
dc.date.available2024-11-25T15:10:22Z
dc.date.issued2020
dc.description.abstract© 2019 Elsevier Inc.Hierarchy of the perturbed nonlinear Schrödinger equations is considered. Nonlinear differential equations of this hierarchy contain higher orders and can be used for description of highly dispersive optical solutions. A new approach for finding solitary wave solutions of high-order nonlinear differential equations is presented. This approach allows us to significantly simplify symbolic calculations. The main idea of the method is that we use expressions of the dependent variable and its derivatives in the differential equation the polynomial form of the solitary wave. We find optical solitons with high dispersion order for nonlinear perturbed Schrodinger equations of the fourth, sixth, eighth, tenth and twelfth orders.
dc.identifier.citationKudryashov, N. A. Highly dispersive solitary wave solutions of perturbed nonlinear Schrodinger equations / Kudryashov, N.A. // Applied Mathematics and Computation. - 2020. - 371. - 10.1016/j.amc.2019.124972
dc.identifier.doi10.1016/j.amc.2019.124972
dc.identifier.urihttps://www.doi.org/10.1016/j.amc.2019.124972
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85076831328&origin=resultslist
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dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/20094
dc.relation.ispartofApplied Mathematics and Computation
dc.titleHighly dispersive solitary wave solutions of perturbed nonlinear Schrodinger equations
dc.typeArticle
dspace.entity.typePublication
oaire.citation.volume371
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