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Deformation of dark solitons in a PT-invariant variable coefficients nonlocal nonlinear Schrodinger equation

Manikandan, K and Priya, N Vishnu and Senthilvelan, M and Sankaranarayanan, R (2018) Deformation of dark solitons in a PT-invariant variable coefficients nonlocal nonlinear Schrodinger equation. In: CHAOS, 28 (8).

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Official URL: http://dx.doi.org/ 10.1063/1.5039901

Abstract

We derive dark and antidark soliton solutions of a parity-time reversal (PT)-invariant variable coefficients nonlocal nonlinear Schrodinger (NNLS) equation. We map the considered equation into a defocusing PT-invariant NNLS equation with a constraint between dispersion, nonlinearity, and gain/loss parameters. We show that the considered system is PT-invariant only when the dispersion and nonlinearity coefficients are even functions and gain/loss coefficient is an odd function. The characteristics of the constructed dark soliton solutions are investigated with four different forms of dispersion parameters, namely, (1) constant, (2) periodically distributed, (3) exponentially distributed, and (4) periodically and exponentially distributed dispersion parameter. We analyze in detail how the nonlocal dark soliton profiles get deformed in the plane wave background with these dispersion parameters. Published by AIP Publishing.

Item Type: Journal Article
Additional Information: Copy right for this article belong to AMER INST PHYSICS, 1305 WALT WHITMAN RD, STE 300, MELVILLE, NY 11747-4501 USA
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Depositing User: Id for Latest eprints
Date Deposited: 27 Sep 2018 14:48
Last Modified: 27 Sep 2018 14:48
URI: http://eprints.iisc.ac.in/id/eprint/60757

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