Solitons under spatially localized cubic-quintic-septimal nonlinearities

H. Fabrelli*, J. B. Sudharsan, R. Radha, A. Gammal, Boris A. Malomed

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We explore stability regions for solitons in the nonlinear Schrödinger equation with a spatially confined region carrying a combination of self-focusing cubic and septimal terms, with a quintic one of either focusing or defocusing sign. This setting can be implemented in optical waveguides based on colloids of nanoparticles. The solitons' stability is identified by solving linearized equations for small perturbations, and is found to fully comply with the Vakhitov-Kolokolov criterion. In the limit case of tight confinement of the nonlinearity, results are obtained in an analytical form, approximating the confinement profile by a delta-function. It is found that the confinement greatly increases the largest total power of stable solitons, in the case when the quintic term is defocusing, which suggests a possibility to create tightly confined high-power light beams guided by the spatial modulation of the local nonlinearity strength.

Original languageEnglish
Article number075501
JournalJournal of Optics (United Kingdom)
Volume19
Issue number7
DOIs
StatePublished - Jul 2017

Funding

FundersFunder number
Council of Scientific and Industrial Research, India
National Science Foundation
Conselho Nacional de Desenvolvimento Científico e Tecnológico
United States-Israel Binational Science Foundation
Fundação de Amparo à Pesquisa do Estado de São Paulo
US-Israel
Department of Science and Technology, Ministry of Science and Technology, IndiaSR/S2/HEP-26/2012, 03(1323)/14/EMR-II
Department of Atomic Energy-National Board of Higher MathematicsD II/15451, 2/48(21)/2014 /NBHM(RP)/R
Directorate for Biological Sciences2015616

    Keywords

    • collisional inhomogeneity
    • cubic-quintic-septimal
    • nonlinear Schrodinger equation
    • solitons

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