Publication:
On solutions of one of the second-order nonlinear differential equation: An in-depth look and critical review

Простая страница элемента
dc.contributor.authorKudryashov, N. A.
dc.contributor.authorKutukov, A. A.
dc.contributor.authorLavrova, S. F.
dc.contributor.authorSafonova, D. V.
dc.contributor.authorКудряшов, Николай Алексеевич
dc.contributor.authorКутуков, Александр Алексеевич
dc.contributor.authorЛаврова, София Федоровна
dc.contributor.authorСафонова, Дарья Владимировна
dc.date.accessioned2024-12-26T08:27:48Z
dc.date.available2024-12-26T08:27:48Z
dc.date.issued2022
dc.description.abstract© 2022 Elsevier GmbHA critical review of recent articles by two scientific groups, which have considered a well-known nonlinear differential equation of the second order, is presented. One of these groups is led by G. Akram et. al. from Pakistan (Department of mathematics, University of the Punjab, Lahore). Another group is led by K.-J. Wang from China (School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo). In a number of papers published by these authors there have been presented a lot of solutions of the well-known differential equation. In fact, this differential equation was studied more than 150 years ago in the works of outstanding mathematicians Niels Henrik Abel (1827), Karl Gustav Jacob Jacobi (1829) and Karl Weierstrass (1855, 1862). However, the scientific groups of Akram and Wang, apparently not being familiar with the works of prominent mathematicians and not realizing that this equation has a unique solution on the complex plane, have been trying to rewrite the solution of this equation using symbolic mathematics programs misleading by that the scientific community. Although there are several erroneous works by Akram and Wang, only a few articles are analyzed here. The errors of a few works by these authors are discussed. The correct solutions of this popular equation, which is often encountered in nonlinear optics, are presented.
dc.identifier.citationOn solutions of one of the second-order nonlinear differential equation: An in-depth look and critical review / Kudryashov, N.A. [et al.] // Optik. - 2022. - 255. - 10.1016/j.ijleo.2022.168674
dc.identifier.doi10.1016/j.ijleo.2022.168674
dc.identifier.urihttps://www.doi.org/10.1016/j.ijleo.2022.168674
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85124503104&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000788759300006
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/28735
dc.relation.ispartofOptik
dc.titleOn solutions of one of the second-order nonlinear differential equation: An in-depth look and critical review
dc.typeArticle
dspace.entity.typePublication
oaire.citation.volume255
relation.isAuthorOfPublicationffa3e9b3-afd3-483c-a8cf-dd71c76020c4
relation.isAuthorOfPublicatione97e59f2-63b5-4ea4-a6e1-2d7facefb014
relation.isAuthorOfPublicationfaf71926-b0c7-4e0d-bd2e-26bb1a159ee1
relation.isAuthorOfPublication6cda402b-770f-4c0e-b837-0ddfa66aaa5b
relation.isAuthorOfPublication.latestForDiscoveryffa3e9b3-afd3-483c-a8cf-dd71c76020c4
relation.isOrgUnitOfPublicationdcdb137c-0528-46a5-841b-780227a67cce
relation.isOrgUnitOfPublication.latestForDiscoverydcdb137c-0528-46a5-841b-780227a67cce
Файлы
Коллекции
Публикации