Work

Lumps, solitons, modulation instability and stability analysis for the novel generalized (2+1)-dimensional nonlinear model arising in shallow water

Year: 2025

Type: article

Abstract: In this study, the (2+1)-dimensional Kadomtsev–Petviashvili type equation is investigated that describes the nonlinear wave patterns of behavior and properties in oceanography, fluid dynamics, and shallow water. Firstly, the Hirota bilinear form is implemented to develop a variety of lump, strip soliton and periodic waves solutions for the governing model. Furthermore, some interesting traveling and semi-analytical solitons are generated by availing the extended modified auxiliary equation mapping technique and the Adomian decomposition algorithm. Moreover, in order to determine the absolute error, we have constructed a juxtapose of approximate and soliton results. Additionally, we deliberate the stability analysis and the modulation instability for the governing model extensively to validate the scientific computations. Moreover, the graphical portrayals which include contour plots, 2D and 3D models are illustrated that are useful for understanding the behaviors and dynamics presented by the model’s solutions. The findings of current study are quite novel and make a big contribution to soliton dynamics and mathematical physics.

Source: Alexandria Engineering Journal

DOI: 10.1016/j.aej.2025.03.110

Authors: Kalim U. Tariq, Adil Jhangeer, Muhammad Nasir Ali, Hamza Ilyas, R. Nadir Tufail

Institutions: Mirpur University of Science and Technology, VSB - Technical University of Ostrava, National University of Computer and Emerging Sciences

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: $1,900

Funders: European Commission, FP7 Coordination of Research Activities