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Dynamic insights into nonlinear evolution: Analytical exploration of a modified width-Burgers equation

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  • Khater, Mostafa M.A.

Abstract

This research delves into the analysis of the modified equal-width Burgers (MEW-Burgers) equation employing the Khater II technique and the generalized rational approach as analytical tools. Additionally, the He’s variational iteration (HVI) method is employed to validate the accuracy of the obtained solutions. The MEW-Burgers equation serves as a mathematical model capturing phenomena characterized by nonlinear-induced wave steepening and dispersive-induced smoothing effects. Its applications span various domains such as shallow water waves, ion-acoustic plasma waves, optical pulses in fibers, and traffic flow. The primary objective of this endeavor is to derive new and precise soliton wave solutions for the MEW-Burgers equation, specifically those that intricately depict the interplay between nonlinear and dispersive effects, such as solitons and kinks.

Suggested Citation

  • Khater, Mostafa M.A., 2024. "Dynamic insights into nonlinear evolution: Analytical exploration of a modified width-Burgers equation," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    • Handle: RePEc:eee:chsofr:v:184:y:2024:i:c:s0960077924005940
    DOI: 10.1016/j.chaos.2024.115042
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    References listed on IDEAS

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    1. Kang-Jia Wang, 2023. "New Exact Solutions Of The Local Fractional Modified Equal Width-Burgers Equation On The Cantor Sets," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(09), pages 1-9.
    2. Mohamed Adel, 2022. "Numerical Simulations For The Variable Order Two-Dimensional Reaction Sub-Diffusion Equation: Linear And Nonlinear," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-10, February.
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