Sakthivinayagam, P (2024) More General Soliton Solution for Vectorial Bose-Einstein Condensate. More General Soliton Solution for Vectorial Bose-Einstein Condensate.

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Abstract

WE derive exact and more general solutions of the two coupled Gross-Pitaevskii equation with suitable parameters by demonstrating two analytical methods. In the first method, equations are analyzed and inferred some of their mathematical and physical properties, 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 Gross-Pitaevskii equation (NLS equation with external potential term). We have proved that the solutions were more general one by showcasing all kinds of soliton pairs by maneuvering the parameters suitably

Item Type: Article
Uncontrolled Keywords: Darboux transformation, Solitons, Bose-Einstein Condensates 2000 MSC: 37K40, 35Q51, 35Q5
Divisions: PSG College of Arts and Science > Department of Physics
Depositing User: Mr Team Mosys
Date Deposited: 26 Feb 2025 12:15
Last Modified: 26 Feb 2025 12:15
URI: https://ir.psgcas.ac.in/id/eprint/2383

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