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<p>The third-order dispersion plays a crucial role in the generation of nonlinear waves in optical fibers. This study focuses on analyzing the impact of third-order dispersion on wave transmission in birefringent optical fibers using a two-component Kundu–Eckhaus equation model. The equation of the model is solved using the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12596_2025_2784_Article_IEq1.gif" Format="GIF" Height="33" Rendition="HTML" Resolution="72" Type="Linedraw" Width="39" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Bigl (\frac{G^{'}}{G^2}\Bigr )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mrow> <mo maxsize="1.623em" minsize="1.623em" stretchy="true">(</mo> </mrow> <mfrac> <mmultiscripts> <mi>G</mi> <mrow /> <mmultiscripts> <mrow /> <mrow /> <mo>′</mo> </mmultiscripts> </mmultiscripts> <msup> <mi>G</mi> <mn>2</mn> </msup> </mfrac> <mrow> <mo maxsize="1.623em" minsize="1.623em" stretchy="true">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> expansion approach with more free parameters. The resulting solutions are derived under specific conditions and expressed as trigonometric, hyperbolic, and rational functions. Through these analytical solutions, we examine the formation of solitons in birefringent optical fibers and observe the influence of third-order dispersion on their behavior. The stability of a soliton solution is explored with the help of the Fourier collocation method. This work offers valuable insights into the generation of nonlinear waves in real-world birefringent optical fiber systems.</p>

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Perturbed periodic localized modes in birefringent optical fiber for two component Kundu–Eckhaus equation with third order dispersion

  • 期刊论文

  • 发表日期：

    2025年6月2日

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  • E. Parasuraman,
  • X. Lourdhu Jannet Vinoli

摘要

The third-order dispersion plays a crucial role in the generation of nonlinear waves in optical fibers. This study focuses on analyzing the impact of third-order dispersion on wave transmission in birefringent optical fibers using a two-component Kundu–Eckhaus equation model. The equation of the model is solved using the \(\Bigl (\frac{G^{'}}{G^2}\Bigr )\) ( G ′ G 2 ) expansion approach with more free parameters. The resulting solutions are derived under specific conditions and expressed as trigonometric, hyperbolic, and rational functions. Through these analytical solutions, we examine the formation of solitons in birefringent optical fibers and observe the influence of third-order dispersion on their behavior. The stability of a soliton solution is explored with the help of the Fourier collocation method. This work offers valuable insights into the generation of nonlinear waves in real-world birefringent optical fiber systems.