Existence of Peregrine type solutions in fractional reaction-diffusion equations

Besteiro, Agustín and Rial, Diego: Existence of Peregrine type solutions in fractional reaction-diffusion equations. In: Electronic journal of qualitative theory of differential equations 9. pp. 1-9. (2019)

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Abstract

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.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 9
ISSN: 1417-3875
Page Range: pp. 1-9
DOI: https://doi.org/10.14232/ejqtde.2019.1.9
Uncontrolled Keywords: Reakció-diffúziós egyenlet
Additional Information: Bibliogr.: p. 7-9. ; összefoglalás angol nyelven
Date Deposited: 2019. May. 31. 06:33
Last Modified: 2019. May. 31. 06:33
URI: http://acta.bibl.u-szeged.hu/id/eprint/58108

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