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Generalized traveling-wave solutions of nonlinear reaction–diffusion equations with delay and variable coefficients

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dc.contributor.authorPolyanin, A. D.
dc.date.accessioned2024-11-18T15:43:51Z
dc.date.available2024-11-18T15:43:51Z
dc.date.issued2019
dc.description.abstract© 2018 Elsevier Ltd The paper presents a number of new exact solutions to nonlinear reaction–diffusion equations with delay of the form [Formula presented] where [Formula presented] is the delay time, and [Formula presented] is an arbitrary function of two arguments. Solutions are sought in the form of a generalized traveling-wave, u=U(z) with z=t+θ(x). It is shown that one of the two functional coefficients a(x) and b(x) of the equation considered can be specified arbitrarily. Examples of delay reaction–diffusion equations and their solutions are given. New exact solutions of few other nonlinear delay PDEs are also obtained.
dc.format.extentС. 49-53
dc.identifier.citationPolyanin, A. D. Generalized traveling-wave solutions of nonlinear reaction–diffusion equations with delay and variable coefficients / Polyanin, A. D. // Applied Mathematics Letters. - 2019. - 90. - P. 49-53. - 10.1016/j.aml.2018.10.012
dc.identifier.doi10.1016/j.aml.2018.10.012
dc.identifier.urihttps://www.doi.org/10.1016/j.aml.2018.10.012
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85056324857&origin=resultslist
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000457513300008
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/16354
dc.relation.ispartofApplied Mathematics Letters
dc.titleGeneralized traveling-wave solutions of nonlinear reaction–diffusion equations with delay and variable coefficients
dc.typeArticle
dspace.entity.typePublication
oaire.citation.volume90
relation.isOrgUnitOfPublication010157d0-1f75-46b2-ab5b-712e3424b4f5
relation.isOrgUnitOfPublication.latestForDiscovery010157d0-1f75-46b2-ab5b-712e3424b4f5
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