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Separation of variables in PDEs using nonlinear transformations: Applications to reaction–diffusion type equations

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dc.contributor.authorZhurov, A. I.
dc.contributor.authorPolyanin, A. D.
dc.date.accessioned2024-11-25T14:52:41Z
dc.date.available2024-11-25T14:52:41Z
dc.date.issued2020
dc.description.abstract© 2019 Elsevier LtdThe paper describes a new approach to constructing exact solutions of nonlinear partial differential equations that employs separation of variables using special (nonlinear integral) transformations and the splitting principle. To illustrate its effectiveness, the method is applied to nonlinear reaction–diffusion type equations that involve variable coefficients and arbitrary functions. New exact functional separable solutions as well as generalized traveling wave solutions are obtained.
dc.identifier.citationZhurov, A. I. Separation of variables in PDEs using nonlinear transformations: Applications to reaction–diffusion type equations / Zhurov, A.I., Polyanin, A.D. // Applied Mathematics Letters. - 2020. - 100. - 10.1016/j.aml.2019.106055
dc.identifier.doi10.1016/j.aml.2019.106055
dc.identifier.urihttps://www.doi.org/10.1016/j.aml.2019.106055
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85072585080&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000494048300036
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/20031
dc.relation.ispartofApplied Mathematics Letters
dc.titleSeparation of variables in PDEs using nonlinear transformations: Applications to reaction–diffusion type equations
dc.typeArticle
dspace.entity.typePublication
oaire.citation.volume100
relation.isOrgUnitOfPublication010157d0-1f75-46b2-ab5b-712e3424b4f5
relation.isOrgUnitOfPublication.latestForDiscovery010157d0-1f75-46b2-ab5b-712e3424b4f5
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