ArticleScientific reports2024
Investigation of the new optical soliton solutions to the (2+1)-dimensional calogero-bogoyavlenskii schiff model.
Article in Scientific reports, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.
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Abstract
In this work, we use the ansatz transformation functions to investigate different analytical rational solutions by symbolic computation. For the (2+1)-dimensional Calogero-Bogoyavlenskii Schiff (CBS) model, we derive a variety of rational solutions, such as homoclinic breather solutions (HBs), M-shaped rational solutions (MSRs), periodic cross-rationals (PCRs), multi-wave solutions (MWs), and kink cross-rational solutions (KCRs). Their dynamic is shown in figures by selecting appropriate values for the pertinent parameters. The Calogero-Bogoyavlenskii-Schiff model describes the interface of Riemann waves in two spatial dimensions. The Riemann wave can be used to explain a wide range of physical phenomena, including internal ocean waves, tsunamis, tidal waves, and magneto-sound waves in plasmas.In addition, two different types of interactions between kink waves and M-shaped rational solutions are studied. The proposed model plays a crucial role in elucidating the internal structure of tangible composite phenomena in several fields such as nonlinear optics, wave behaviors in deep seas, plasma physics, and two-dimensional discrete electrical lattices. In order to verify the physical properties of the established solitons, we use constant parameter values to create 3D, 2D, and contour profiles of the solutions.
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