Publication: Mathematical model with unrestricted dispersion and polynomial nonlinearity
| dc.contributor.author | Kudryashov, N. A. | |
| dc.contributor.author | Кудряшов, Николай Алексеевич | |
| dc.date.accessioned | 2024-12-28T08:16:31Z | |
| dc.date.available | 2024-12-28T08:16:31Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | The family of generalized nonlinear Schrödinger equations with unrestricted dispersion and polynomial nonlinearity is considered. The Painlevé test is used to study the integrability of differential equations. It is shown that all equations of the family do not pass the Painlevé test and the Cauchy problem cannot be solved by the inverse scattering transform. It is proved that there are two arbitrary constants in the expansion into the Laurent series of the general solution. The new version of the simplest equation method is used for finding optical and embedded solitons of the family of differential equations. | |
| dc.identifier.citation | Kudryashov, N. A. Mathematical model with unrestricted dispersion and polynomial nonlinearity / Kudryashov, N.A. // Applied Mathematics Letters. - 2023. - 138. - 10.1016/j.aml.2022.108519 | |
| dc.identifier.doi | 10.1016/j.aml.2022.108519 | |
| dc.identifier.uri | https://www.doi.org/10.1016/j.aml.2022.108519 | |
| dc.identifier.uri | https://www.scopus.com/record/display.uri?eid=2-s2.0-85145347575&origin=resultslist | |
| dc.identifier.uri | http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000904842200001 | |
| dc.identifier.uri | https://openrepository.mephi.ru/handle/123456789/29895 | |
| dc.relation.ispartof | Applied Mathematics Letters | |
| dc.title | Mathematical model with unrestricted dispersion and polynomial nonlinearity | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| oaire.citation.volume | 138 | |
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