Publication:
Functional Separable Solutions of Two Classes of Nonlinear Mathematical Physics Equations

Простая страница элемента
dc.contributor.authorPolyanin, A. D.
dc.contributor.authorZhurov, A. I.
dc.date.accessioned2024-11-21T10:38:36Z
dc.date.available2024-11-21T10:38:36Z
dc.date.issued2019
dc.description.abstract© 2019, Pleiades Publishing, Ltd.Abstract: This study describes a new modification of the method of functional separation of variables for nonlinear equations of mathematical physics. Solutions are sought in an implicit form that involves several free functions (specific expressions for these functions are determined by analyzing the arising functional differential equations). The effectiveness of the method is illustrated by examples of nonlinear reaction–diffusion equations and Klein–Gordon type equations with variable coefficients that depend on one or more arbitrary functions. A number of new exact functional separable solutions and generalized traveling-wave solutions are obtained.
dc.format.extentС. 321-324
dc.identifier.citationPolyanin, A. D. Functional Separable Solutions of Two Classes of Nonlinear Mathematical Physics Equations / Polyanin, A.D., Zhurov, A.I. // Doklady Mathematics. - 2019. - 99. - № 3. - P. 321-324. - 10.1134/S1064562419030128
dc.identifier.doi10.1134/S1064562419030128
dc.identifier.urihttps://www.doi.org/10.1134/S1064562419030128
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85070009390&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000477948900020
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/18472
dc.relation.ispartofDoklady Mathematics
dc.titleFunctional Separable Solutions of Two Classes of Nonlinear Mathematical Physics Equations
dc.typeArticle
dspace.entity.typePublication
oaire.citation.issue3
oaire.citation.volume99
relation.isOrgUnitOfPublication010157d0-1f75-46b2-ab5b-712e3424b4f5
relation.isOrgUnitOfPublication.latestForDiscovery010157d0-1f75-46b2-ab5b-712e3424b4f5
Файлы
Коллекции
Публикации