Babu Mareeswaran, R (2020) Manipulation of vector solitons in a system of inhomogeneous coherently coupled nonlinear Schr¨odinger models with variable nonlinearities. Manipulation of vector solitons in a system of inhomogeneous coherently coupled nonlinear Schr¨odinger models with variable nonlinearities.

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Abstract

We investigate non-autonomous solitons in a general coherently coupled nonlinear Schr¨odinger (CCNLS)
system with temporally modulated nonlinearities and with an external harmonic oscillator potential.
This general CCNLS system encompasses three distinct types of CCNLS equations that describe
the dynamics of beam propagation in an inhomogeneous Kerr-like nonlinear optical medium
for di�erent choices of nonlinear polarizations owing to the anisotropy of the medium. We identify
a generalized similarity transformation to relate the considered model into the standard integrable
homogeneous coupled nonlinear evolution equations with constant nonlinearities, accompanied by
a constraint relation expressed in the form of the Riccati equation. With the help of a non-standard
Hirota’s bilinearization method and exact soliton solutions, we explore the impact of varying nonlinearities
and refractive index in the propagation and collisions analytically by reverse engineering.
Interestingly, we show the emergence of several modulated solitonic phenomena such as periodic oscillation,
amplification, compression, tunneling/cross-over, excitons, as well as their combined e�ect
in the single-soliton propagation and two-soliton collisions with appropriate forms of nonlinearity.
Notably, we identify a tool to transform the nature of soliton collisions with certain type of inhomogeneous
nonlinearities. The results could be of significant interest to the studies on management
of nonlinear waves in the contexts like nonlinear optics and can also be extended to Bose-Einstein
condensates and super-fluids.

Item Type: Article
Additional Information: https://doi.org/10.1088/1751-8121/abae3f
Uncontrolled Keywords: Nonlinear optics; Inhomogeneous system; Coupled nonlinear Schr¨odinger equations; Vector solitons; Variable nonlinearity; Soliton management.
Divisions: PSG College of Arts and Science > Department of Physics
Depositing User: Mr Team Mosys
Date Deposited: 07 May 2025 06:32
Last Modified: 07 May 2025 06:32
URI: https://ir.psgcas.ac.in/id/eprint/2415

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