Work

Exploring soliton solutions of Zakharov–Kuznetsov dynamical model with applications

Year: 2025

Type: article

Abstract: In this paper, we investigate the soliton solution of the Zakharov–Kuznetsov (Z–K) equation using a modified unified method. The Z–K equation pertains to the evolution of quasi- (1D) shallow-water waves under conditions, where viscosity and surface tension effects can be disregarded. By employing the newly modified unified method, we derive analytical solutions employing hyperbolic, trigonometric, rational, and exponential functions. Interestingly, several of these solutions are novel and have not been described earlier. These distinct wave solutions hold noteworthy applications in various fields, including applied sciences and engineering. By setting particular values for the solution parameters, we reveal new graphical patterns that escalate our interpretation of the physical behavior within this model. Computational efforts and outcomes underscore the potency and robustness of the suggested technique, suggesting its potential applicability to various nonlinear models appearing in mathematical physics and diverse scientific domains. Moreover, this technique can be utilized to solve other intricate Z–K equations in the field of mathematical physics.

Source: AIP Advances

DOI: 10.1063/5.0261425

Authors: Faisal Yasin, Noreen Shahbaz, Bander Almutairi, Mohamed Sesay, Jorge E. Macías-Díaz

Institutions: University of Lahore, King Saud University, Eastern Technical University of Sierra Leone, Tallinn University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,350

Funder: King Saud University