Influence of pseudo-stimulated-Raman-scattering on the modulational instability in an inhomogeneous nonlinear medium

  • Luciano Calaça
  • , Ardiley T. Avelar
  • , Boris A. Malomed
  • , Wesley B. Cardoso*
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We study the influence of the pseudo-Raman effect on the modulation instability (MI) in an inhomogeneous nonlinear medium. The system is governed by the extended nonlinear Schrödinger (NLS) equation, which is derived from a Zakharov-type system for the interaction between high-frequency and low-frequency waves. The resulting inhomogeneous NLS equation includes a pseudo-stimulated-Raman-scattering term. The model may apply to the propagation of waves in plasmas, surface waves in the ocean, and optical beams in nonlinear waveguides. This nonautonomous model is converted into an autonomous equation by a similarity transformation, allowing us to find MI regions of the system. The results suggest new possibilities for controlling multi-soliton patterns generated by the MI. The MI patterns are also produced by numerical simulations that confirm the analytical results.

Original languageEnglish
Pages (from-to)551-561
Number of pages11
JournalEuropean Physical Journal: Special Topics
Volume227
Issue number5-6
DOIs
StatePublished - 1 Sep 2018

Funding

FundersFunder number
Informac¸ão Quântica
National Science Foundation
Instituto Nacional de Ciência e Tecnologia Midas
United States-Israel Binational Science Foundation2015616
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Israel Science Foundation1286/17
Fundação de Amparo à Pesquisa do Estado de Goiás
Instituto Nacional de Ciência e Tecnologia de Informação Quântica

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