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Dynamical behaviour of solitons in a š¯’«š¯’Æ-invariant nonlocal nonlinear Schrƶdinger equation with distributed coefficients

  • KannanĀ Manikandan
  • SeenimuthuĀ Stalin
  • MurugaianĀ Senthilvelan
Regular Article
  • 17 Downloads

Abstract

We present one-, two- and three-soliton solutions of a parity-time (š¯’«š¯’Æ)-invariant nonlocal nonlinear Schrƶdinger (NNLS) equation with distributed coefficients, namely dispersion, nonlinearity and loss/gain parameters. We map the considered equation into constant coefficient š¯’«š¯’Æ-invariant NNLS equation with a constraint. We prove that the considered system is š¯’«š¯’Æ-invariant only when the distributed coefficients are even functions. To investigate the dynamical behaviour of the constructed one- and two-soliton solutions, we consider three different forms of dispersion parameters, namely (i) constant, (ii) periodically distributed, and (iii) exponentially distributed one. We report how the intensity profiles of solitons get modified in the background by considering the aforementioned dispersion parameters. By performing asymptotic analysis, we also explain how the dispersion parameters influence the interactions of nonlocal solitons.

Keywords

Statistical and Nonlinear PhysicsĀ 

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Copyright information

Ā©Ā EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer NatureĀ 2018

Authors and Affiliations

  • KannanĀ Manikandan
    • 1
  • SeenimuthuĀ Stalin
    • 2
  • MurugaianĀ Senthilvelan
    • 2
  1. 1.Department of PhysicsNational Institute of TechnologyTiruchirappalliIndia
  2. 2.Centre for Nonlinear Dynamics, School of Physics, Bharathidasan UniversityTiruchirappalliIndia

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