Work

Lie-bäcklund symmetry, soliton solutions, chaotic structure and its characteristics of the extended (3 + 1) dimensional Kairat-II model

Year: 2024

Type: article

Abstract: This study investigates the (3 + 1)-dimensional extended Kairat-II model using Lie-Bäcklund symmetry (LBS) and the improved modified extended tanh-function approach (IMETFA). The bifurcation and sensitivity analyses are conducted to understand the stability and chaotic behavior of the model. Through graphical visualizations of phase diagrams, Lyapunov exponents, power spectra, fractal dimension and recurrence plots, the complex dynamics and stability characteristics of the model are elucidated. Additionally, the research focuses on the derivation of dark soliton and various combo soliton solutions of the Kairat-II model. The derived soliton solutions are graphically displayed in 3D and 2D plots. The obtained results are new and have never been reported in the literature for the considered equation.

Source: Nonlinear Dynamics

DOI: 10.1007/s11071-024-10325-3

Authors: Maalee Almheidat, Mohammad Alqudah, A. A. Alderremy, Mawahib Elamin, Emad E. Mahmoud, Shabir Ahmad

Institutions: Petra University, German Jordanian University, King Khalid University, Qassim University, Taif University, University of Campania "Luigi Vanvitelli"

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,590

OpenAlex ID: W4403157767

FWCI: 3.042

Cites: 27

Cited by: 20

Related to: 10