Bifurcation and traveling wave solution to fractional Biswas-Arshed equation with the beta time derivative

Zhao Li

Chaos, Solitons & Fractals, 2022, vol. 160, issue C

Abstract: The main purpose of this paper is to study the dynamical behavior, optical soliton solution and traveling wave solution for the fractional Biswas-Arshed equation with the beta time derivative by using theory of planar dynamical system. Firstly, by employing the traveling wave transformation and other integral transformations, the fractional Biswas-Arshed equation with the beta time derivative is simplified into two-dimensional planar dynamic system. Secondly, phase portraits for the fractional Biswas-Arshed equation with the beta time derivative are plotted. Finally, based on Professor Li's three-step method, optical soliton solution and traveling wave solution of the fractional Biswas-Arshed equation with the beta time derivative are constructed, the obtained solutions give the propagation of optical solitons in nonlinear optics.

Keywords: Fractional Biswas-Arshed equation; Atangana-Baleanu fractional derivative; Bifurcation; Traveling wave solution (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922004593

DOI: 10.1016/j.chaos.2022.112249

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