Construction of exact multi-soliton solutions to the modified Gross–Pitaevskii equation and further elastic interactions
Source abstract
Abstract
In this paper, the modified Gross–Pitaevskii equation is investigated, taking into account the effects of higher-order interactions (HOIs) in the context of Bose–Einstein condensates. Starting from the theoretical model, subsequent equations of the Hirota bilinear form are built to extract exact analytical multi-soliton solutions, whose details are provided. Fundamental solitons are deeply investigated with emphasis on the wave amplification/compression efficiency. The findings also show how the HOI parameter, beyond amplifying the fundamental wave, affects spatial delocalization in the repulsive and elastic collisional processes in multi-soliton propagation. In addition, further investigations on the elastic interaction of multi-solitons reveal the phenomenon of memory recombination for solitons, which has been evidenced through various interacting procedures. These results may be used as a guide for the production of soliton trains and signal amplification/compression for potential applications in telecommunication devices.
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Research context
OpenAlex topics: Nonlinear Photonic Systems · Cold Atom Physics and Bose-Einstein Condensates · Nonlinear Waves and Solitons
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Pure Physics Laboratory: Group of Nonlinear Physics and Complex Systems, Department of Physics, Faculty of Science, University of Douala 1 , P.O. Box 24157, Douala,
Department of Physics and Astronomy, Botswana International University of Science and Technology 2 , Private Mail Bag 16, Palapye,
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