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The European Physical Journal Special Topics

, Volume 227, Issue 5–6, pp 551–561 | Cite as

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
Regular Article
Part of the following topical collections:
  1. Nonlinear Phenomena in Physics: New Techniques and Applications

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.

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Copyright information

© EDP Sciences and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Luciano Calaça
    • 1
    • 2
  • Ardiley T. Avelar
    • 1
  • Boris A. Malomed
    • 3
    • 4
  • Wesley B. Cardoso
    • 1
  1. 1.Instituto de Física, Universidade Federal de GoiásGoiâniaBrazil
  2. 2.Instituto Federal de GoiásAparecida de GoiâniaBrazil
  3. 3.Department of Physical ElectronicsSchool of Electrical Engineering, Faculty of Engineering, Tel Aviv UniversityTel AvivIsrael
  4. 4.ITMO UniversitySt. PetersburgRussia

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