Existence of Peregrine Solitons in fractional reaction-diffusion equations

2018/07/16 by Agustín Besteiro, Besteiro, Agustín, Diego Rial +1
Mathematics · #35K55 #35K57 #35Q92 #35R11 #92D25 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35K55 #msc:35K57 #msc:35Q92 #msc:35R11 #msc:92D25

paper · pdf · doi:10.48550/arxiv.1807.05792

9 pages. arXiv admin note: text overlap with arXiv:1805.09985

arxiv created 2018/08/14 · arxiv updated 2018/08/23

Abstract

In this article, we will analyze the existence of Peregrine type solutions for the fractional diffusion reaction equation by applying Splitting-type methods. These functions that have two main characteristics, they are direct sum of functions of periodic type and functions that tend to zero at infinity. Global existence results are obtained for each particular characteristic, for then finally combining both results.

Citations

• Global existence for vector valued fractional reaction-diffusion equations

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