Publication: Generalized traveling-wave solutions of nonlinear reaction–diffusion equations with delay and variable coefficients
Дата
2019
Авторы
Polyanin, A. D.
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Аннотация
© 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.
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Цитирование
Polyanin, 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
URI
https://www.doi.org/10.1016/j.aml.2018.10.012
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https://openrepository.mephi.ru/handle/123456789/16354
https://www.scopus.com/record/display.uri?eid=2-s2.0-85056324857&origin=resultslist
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000457513300008
https://openrepository.mephi.ru/handle/123456789/16354