Skip to main content
Top
Published in:

01-11-2017

Modulation of localized solutions in an inhomogeneous saturable nonlinear Schrödinger equation

Authors: Luciano Calaça, Wesley B. Cardoso

Published in: Optical and Quantum Electronics | Issue 11/2017

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this paper we study the modulation of localized solutions by an inhomogeneous saturable nonlinear medium. Throughout an appropriate ansatz we convert the inhomogeneous saturable nonlinear Schrödinger equation in a homogeneous one. Then, via a variational approach we construct localized solutions of the autonomous equation and we present some modulation patterns of this localized structures. We have checked the stability of such solutions through numerically simulations.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
go back to reference Agrawal, G.P.: Nonlinear Fiber Optics. Optics and Photonics. Elsevier Science (2013). Agrawal, G.P.: Nonlinear Fiber Optics. Optics and Photonics. Elsevier Science (2013).
go back to reference Ainslie, B.J., Girdlestone, H.P., Cotter, D.: Semiconductor-doped fibre waveguides exhibiting picosecond optical nonlinearity. Electron. Lett. 23, 405–406 (1987)CrossRef Ainslie, B.J., Girdlestone, H.P., Cotter, D.: Semiconductor-doped fibre waveguides exhibiting picosecond optical nonlinearity. Electron. Lett. 23, 405–406 (1987)CrossRef
go back to reference Kivshar, Y.S., Agrawal, G.: Optical Solitons: From Fibers to Photonic Crystals. Elsevier Science (2003). Kivshar, Y.S., Agrawal, G.: Optical Solitons: From Fibers to Photonic Crystals. Elsevier Science (2003).
go back to reference Malomed, B.A.: Soliton Management in Periodic Systems. Springer US (2006). Malomed, B.A.: Soliton Management in Periodic Systems. Springer US (2006).
Metadata
Title
Modulation of localized solutions in an inhomogeneous saturable nonlinear Schrödinger equation
Authors
Luciano Calaça
Wesley B. Cardoso
Publication date
01-11-2017
Publisher
Springer US
Published in
Optical and Quantum Electronics / Issue 11/2017
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-017-1214-1

Other articles of this Issue 11/2017

Optical and Quantum Electronics 11/2017 Go to the issue