BIFURCATION, PHASE PORTRAIT, CHAOTIC PATTERN AND TRAVELING WAVE SOLUTION OF THE FRACTIONAL PERTURBED CHEN–LEE–LIU MODEL WITH BETA TIME-SPACE DERIVATIVE IN FIBER OPTICS

Zhao Li ()
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Zhao Li: College of Computer Science, Chengdu University, Chengdu 610106, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 10, 1-7

Abstract: In this paper, the fractional perturbed Chen–Lee–Liu model with beta time-space derivative is under consideration. First, the traveling wave transformation is applied to transform the fractional perturbed Chen–Lee–Liu model into two-dimensional planar dynamic systems. Second, the bifurcation of the dynamics system of the fractional perturbed Chen–Lee–Liu model with beta time-space derivative is discussed by using the theory of the plane dynamics systems. Finally, the traveling wave solutions of the fractional perturbed Chen–Lee–Liu model are obtained via the analysis method of planar dynamical system.

Keywords: Perturbed Chen–Lee–Liu Model; Bifurcation; Traveling Wave Solution; Beta Derivative; Chaotic (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23401928

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