Existence of Peregrine Solitons in fractional reaction-diffusion equations

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.

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