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

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  • Tang, Lu

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.

Suggested Citation

  • Tang, Lu, 2022. "Bifurcation analysis and multiple solitons in birefringent fibers with coupled Schrödinger-Hirota equation," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    • Handle: RePEc:eee:chsofr:v:161:y:2022:i:c:s0960077922005938
    DOI: 10.1016/j.chaos.2022.112383
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    References listed on IDEAS

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    1. Zhou, Jiangrui & Zhou, Rui & Zhu, Shihui, 2020. "Peakon, rational function and periodic solutions for Tzitzeica–Dodd–Bullough type equations," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    2. Tang, Lu & Chen, Shanpeng, 2022. "Traveling wave solutions for the diffusive Lotka–Volterra equations with boundary problems," Applied Mathematics and Computation, Elsevier, vol. 413(C).
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    Cited by:

    1. Rafiq, Muhammad Hamza & Raza, Nauman & Jhangeer, Adil, 2023. "Dynamic study of bifurcation, chaotic behavior and multi-soliton profiles for the system of shallow water wave equations with their stability," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    2. Han, Tianyong & Li, Zhao & Li, Chenyu, 2023. "Bifurcation analysis, stationary optical solitons and exact solutions for generalized nonlinear Schrödinger equation with nonlinear chromatic dispersion and quintuple power-law of refractive index in ," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).

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    1. Tang, Lu & Chen, Shanpeng, 2022. "Traveling wave solutions for the diffusive Lotka–Volterra equations with boundary problems," Applied Mathematics and Computation, Elsevier, vol. 413(C).

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