Self-similar localized pulses for the nonlinear Schrödinger equation with distributed cubic-quintic nonlinearity

Amitava Choudhuri, Houria Triki, and K. Porsezian
Phys. Rev. A 94, 063814 – Published 6 December 2016

Abstract

We obtain the exact analytical self-similar bright-, dark-, and kink-solitary-wave solutions of the nonlinear Schrödinger equation with localized inhomogeneous cubic-quintic nonlinearity by employing a similarity transformation. This equation could be a model equation of stable pulse propagation beyond ultrashort range in optical fiber communication systems in inhomogeneous media. We have investigated that the self-similar bright- and dark-solitary-wave solitons show interesting compression and amplification features that can be controlled by suitably changing the phase modulation parameter and consequently varying the nonlinear parameter. We unearth a surprising connection between optical self-similar localized waves in graded-index inhomogeneous media and solitons in homogeneous media with the same type of cubic-quintic nonlinearity. Finally, the stability of the solutions is discussed numerically under finite initial perturbations.

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  • Received 1 September 2016

DOI:https://doi.org/10.1103/PhysRevA.94.063814

©2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
Atomic, Molecular & Optical

Authors & Affiliations

Amitava Choudhuri1,*, Houria Triki2, and K. Porsezian3

  • 1Department of Physics, The University of Burdwan, Golapbag 713104, West Bengal, India
  • 2Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P.O. Box 12, 23000 Annaba, Algeria
  • 3Department of Physics, School of Physical, Chemical and Applied Sciences, Pondicherry University, Pondicherry 605014, India

  • *amitava_ch26@yahoo.com

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Issue

Vol. 94, Iss. 6 — December 2016

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