Traveling wave structures and analysis of bifurcation and chaos theory for Biswas–Milovic Model in conjunction with Kudryshov's law of refractive index

被引：4

作者：

Raza N. ^{[1
]}

Abdel-Aty A.-H. ^{[2
]}

机构：

[1] Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore

[2] Department of Physics, College of Sciences, University of Bisha, PO Box 344, Bisha

来源：

Optik | 2023年 / 287卷

关键词：

Bifurcation; Biswas–Milovic equation; Chaos theory; G’/(b G’+G+a)-Expansion method; Solitary wave solutions;

D O I：

10.1016/j.ijleo.2023.171085

中图分类号：

学科分类号：

摘要：

The present study investigates the generalized Biswas–Milovic model using Kudryshov's law of refractive index by employing the G′/(bG′+G+a)-Expansion method. This technique facilitates the extraction of singular exponential, trigonometric and kink soliton solutions for the model under examination. The outcomes are subsequently presented as 2D, 3D, and contour plots. Additionally, the model is transformed into a planner dynamical system, and the bifurcation theory is utilized to explore all potential parameter dependencies of the governing model. The chaotic behavior of dynamical systems is also studied by adding an external periodic force. The phase portraits of the obtained findings are also displayed. The results demonstrate the rich and sophisticated behavior of dynamical systems and emphasized the significance of exact solutions for determining their behavior. © 2023 Elsevier GmbH

引用

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