https://doi.org/10.1140/epjp/s13360-023-04681-z
Regular Article
Solitary travelling wave profiles to the nonlinear generalized Calogero–Bogoyavlenskii–Schiff equation and dynamical assessment
Department of Mathematics, University of Management and Technology, Lahore, Pakistan
Received:
17
July
2023
Accepted:
7
November
2023
Published online:
24
November
2023
This study focuses on the nonlinear generalized Calogero–Bogoyavlenskii–Schiff equation to explain the wave profiles in soliton theory. The improved and efficient technique is applied to derive soliton solutions that are dependent, significant, and more broadly applicable for this equation, surpassing the intricacy of prior complex travel equations. The generalized projective Riccati equations method is employed to acquire precise travelling wave solutions, encompassing various types such as U-shaped, bright, bell-shaped, dark, and flat kink-type wave peakon solutions. These soliton solutions are represented using trigonometric and hyperbolic functions. The graphical presentation of the travelling wave pattern solutions of the model is achieved through the use of the Wolfram Mathematica software for the visualization of the impact of the involved parameters. 3D, contour, and 2D surfaces depict the propagating behaviours of the obtained solutions. Sensitivity analysis is conducted to observe the dynamics of the model, particularly the wave velocity parameter controls the water waves. Furthermore, quasi-periodic chaotic, quasi-periodic, and periodic systems are investigated to understand the model’s dynamics further. The analysis demonstrates the reliability and efficiency of the employed technique, making it applicable for finding suitable solitary travelling wave solutions for a wide range of nonlinear evolution equations.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
