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http://dx.doi.org/10.1103/physrevb.48.16623 | DOI Listing |
PLoS One
January 2025
Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh.
The (3+1)-dimensional mKdV-ZK model is an important framework for studying the dynamic behavior of waves in mathematical physics. The goal of this study is to look into more generic travelling wave solutions (TWSs) for the generalized ion-acoustic scenario in three dimensions. These solutions exhibit a combination of rational, trigonometric, hyperbolic, and exponential solutions that are concurrently generated by the new auxiliary equation and the unified techniques.
View Article and Find Full Text PDFACS Appl Mater Interfaces
January 2025
College of Optical, Mechanical and Electrical Engineering, Zhejiang A&F University, Lin'an 311300, China.
As a member of the chalcogenide family, NiSe exhibits a direct bandgap of 1.74 eV, making it a promising candidate for nonlinear optical devices. However, its potential in the near-infrared region of the telecommunication band has not been fully explored.
View Article and Find Full Text PDFPLoS One
December 2024
Department of Mathematics, College of Science, Taibah University, Al-Madinah, Al-Munawarah, Saudi Arabia.
In this paper, the unified approach is used in acquiring some new results to the coupled Maccari system (MS) in Itô sense with multiplicative noise. The MS is a nonlinear model used in hydrodynamics, plasma physics, and nonlinear optics to represent isolated waves in a restricted region. We provide new results with complicated structures to this model, including hyperbolic, trigonometric and rational function solutions.
View Article and Find Full Text PDFIn this article, the spatial symmetric nonlinear dispersive wave model in (2+1)-dimensions is studied, which have many applications in wave phenomena and soliton interactions in a two-dimensional space with time. In this framework, the Hirota bilinear form is applied to acquire diverse types of breather wave solutions from the foresaid equation. Abundant breather wave solutions are presented by the Hirota bilinear form and a mixture of exponentials and trigonometric functions with the usage of symbolic computation.
View Article and Find Full Text PDFSci Rep
December 2024
Department of Mathematics and Statistics, College of Science, Taif University, 11099, 21944, Taif, Saudi Arabia.
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.
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