Existence of Peregrine type solutions in fractional reaction-diffusion equations

In this article, we analyze the existence of Peregrine type solutions for the fractional reaction–diffusion equation by applying splitting-type methods. Peregrine type functions have two main characteristics, these are direct sum of functions of periodic type and functions that tend to zero at infin...

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Bibliographic Details
Main Authors: Besteiro Agustín
Rial Diego
Format: Serial
Published: 2019
Series:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Reakció-diffúziós egyenlet
doi:10.14232/ejqtde.2019.1.9

Online Access:http://acta.bibl.u-szeged.hu/58108
Description
Summary:In this article, we analyze the existence of Peregrine type solutions for the fractional reaction–diffusion equation by applying splitting-type methods. Peregrine type functions have two main characteristics, these are direct sum of functions of periodic type and functions that tend to zero at infinity. Well-posedness results are obtained for each particular characteristic, and for both combined.
Physical Description:1-9
ISSN:1417-3875