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

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Abstract

We investigate non-autonomous solitons in a general coherently coupled nonlinear Schrodinger (CC- ¨
NLS) system with temporally modulated nonlinearities and with an external harmonic oscillator po�tential. This general CCNLS system encompasses three distinct types of CCNLS equations that de�scribe the dynamics of beam propagation in an inhomogeneous Kerr-like nonlinear optical medium
for different 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 non�linearities 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 os�cillation, amplification, compression, tunneling/cross-over, excitons, as well as their combined effect
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 inho�mogeneous 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
Uncontrolled Keywords: Nonlinear optics; Inhomogeneous system; Coupled nonlinear Schrodinger 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 06:36
Last Modified: 07 May 2025 06:36
URI: https://ir.psgcas.ac.in/id/eprint/2410

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