Bifurcation analysis and multiple solitons in birefringent fibers with coupled Schrödinger-Hirota equation

Lu Tang

Chaos, Solitons & Fractals, 2022, vol. 161, issue C

Abstract: The main attention of this paper focuses on the dynamical behavior and dispersive optical solitons in birefringent fibers with coupled Schrödinger-Hirota equation. Under the traveling wave transformations, the coupled Schrödinger-Hirota equation is reduced to plane dynamical system. With the help of the theory of planar dynamical system, we obtain a range of solutions which contain bell-shaped wave solutions, periodic wave solutions and kink-shaped wave solutions. Then by using the complete discriminant system method and symbolic computation, we give all the classification of single traveling wave solutions for the coupled nonlinear Schrödinger-Hirota equation. It is notable that the obtained results substantially improve or complement the corresponding conditions in the references [19, 20]. As a consequence, this paper gives a new idea to construct dispersive optical solitions for the coupled Schrödinger-Hirota equation.

Keywords: Coupled Schrödinger-Hirota equation; Bifurcation analysis; Symbolic computation; Dispersive optical solitons (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922005938

DOI: 10.1016/j.chaos.2022.112383

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