Bifurcation analysis, chaotic behavior, sensitivity demonstration and dynamics of fractional solitary waves to nonlinear dynamical system

IF 6 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Ain Shams Engineering Journal Pub Date : 2025-01-01 DOI:10.1016/j.asej.2024.103242

Usman Younas , Ejaz Hussain , Jan Muhammad , Mubariz Garayev , Mohammed El-Meligy

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引用次数: 0

Abstract

In various fields of nonlinear sciences, fractional derivatives improve the accuracy and understanding of nonlinear dynamics. This study explores the fractional (2+1) dimensional nonlinear Schrödinger equation arising in the diversity of engineering fields. A variety of solitary wave solutions have been discussed with the assistance of advanced integration methods, namely the modified generalized Riccati equation mapping approach and F-expansion technique. The obtained solutions are displayed in graphs of relevant parameter values to elucidate the physical meaning and scientific interpretation of the analytical work. This paper's main contribution is an examination of the qualitative study like sensitivity analysis, chaotic behavior, and bifurcation analysis. The Galilean transformation is used for the qualitative analysis. Additionally, the behavior of time-varying dynamical systems is investigated through the perspective of chaos theory. To uncover the evasive character of chaos, we investigate 3D, 2D, phase portraits, time series, and Poincare mapping as potent instruments.

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来源期刊

Ain Shams Engineering Journal Engineering-General Engineering

CiteScore

10.80

自引率

13.30%

发文量

441

审稿时长

49 weeks

期刊介绍： in Shams Engineering Journal is an international journal devoted to publication of peer reviewed original high-quality research papers and review papers in both traditional topics and those of emerging science and technology. Areas of both theoretical and fundamental interest as well as those concerning industrial applications, emerging instrumental techniques and those which have some practical application to an aspect of human endeavor, such as the preservation of the environment, health, waste disposal are welcome. The overall focus is on original and rigorous scientific research results which have generic significance. Ain Shams Engineering Journal focuses upon aspects of mechanical engineering, electrical engineering, civil engineering, chemical engineering, petroleum engineering, environmental engineering, architectural and urban planning engineering. Papers in which knowledge from other disciplines is integrated with engineering are especially welcome like nanotechnology, material sciences, and computational methods as well as applied basic sciences: engineering mathematics, physics and chemistry.