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Optical solitons in birefringent fibers for perturbed complex Ginzburg–Landau equation with polynomial law of nonlinearity

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Abstract

In this paper, we go deeply into the complex Ginzburg–Landau equation with highly dispersive perturbed birefringent fibers having a polynomial law of nonlinearity and acquire three modes of solutions, including solitary wave modes, singular modes, and elliptic function double periodic modes, by using the trial equation method and the complete discrimination system for polynomials. In order to digest the dynamic properties of the model better, we study accurate two-dimensional and three-dimensional images of solutions at specific values. The study of this equation is of great significance for the research and application of superconductors.

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  1. Department of Mathematics, Northeast Petroleum University, Daqing, 163318, China

    Yu-Hang Jiang & Chun-yan Wang

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  1. Yu-Hang Jiang
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A wrote the main manuscript text and prepared all figures. All authors reviewed the manuscript.

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Jiang, YH., Wang, Cy. Optical solitons in birefringent fibers for perturbed complex Ginzburg–Landau equation with polynomial law of nonlinearity. Opt Quant Electron 56, 289 (2024). https://doi.org/10.1007/s11082-023-05922-2

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