Sakthivinayagam, P (2022) Nonlocal Cubic-Quintic Nonlinear Schrödinger Equation: Symmetry Breaking Solitons and Its Trajectory Rotation. PHYSICS OF WAVE PHENOMENA, 30 (6). pp. 387-396. ISSN 1541-308X

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Abstract

Using two analytical methods, we derive exact and more general solutions of the nonlocal nonlinear Schrödinger equation with nonlocal cubic and nonlocal quintic terms. In the first method, equations are
analyzed, and some of their mathematical and physical properties are inferred, which are then used to derive
the exact stationary solutions. In the second method, we demonstrate the Darboux transformation method
and construct exact and more general soliton solutions for the nonlocal NLS equation with nonlocal cubic
and quintic terms. We reconsider the collisional dynamics of the nonlocal NLS equation and observe that
apart from intensity redistribution in the interaction of bright and dark solitons, one also witnesses a rotation
of the trajectories of the solitons. The angle of rotation can be varied by suitably manipulating the self-phasemodulation (SPM) or cross-phase-modulation (XPM) parameters and also spectral parameters. The angle
of rotation of the solitons arises due to the excess energy that is injected into the dynamical system through
SPM and XPM. We also notice the parallel traveling solitons due to the rotation in the soliton trajectories.
These observations which exclude the quantum superposition for the field vectors may have wider ramifications in nonlinear optics, Bose–Einstein condensates, and left- and right-handed metamaterials.

Item Type: Article
Uncontrolled Keywords: Darboux transformation, nonlocal NLSE, soliton solutions, cubic-quintic interaction, rotating solitons
Divisions: PSG College of Arts and Science > Department of Physics
Depositing User: Mr Team Mosys
Date Deposited: 13 Mar 2023 09:30
Last Modified: 05 Apr 2023 04:40
URI: http://ir.psgcas.ac.in/id/eprint/1762

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