2024/08/06 by P. S. Vinayagam, Vinayagam, P. S.
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Nonlinear Waves and Solitons #Quantum Gases (cond-mat.quant-gas) #Strong Light-Matter Interactions
paper · pdf · doi:10.48550/arxiv.2408.03082
openalex publication_date 2024/08/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 analysed 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 manoeuvring the parameters suitably.