<p>This study explores the Triki-Biswas (TB) model, a novel model describing soliton dynamics in monomodal optical fibers with non-Kerr dispersion, to obtain optical solitons. Optical bright and singular solitons were derived using the generalized Jacobi elliptic function (gJEF) method and the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41598_2025_92387_Article_IEq1.gif" Format="GIF" Height="33" Rendition="HTML" Resolution="72" Type="Linedraw" Width="94" /> </InlineMediaObject> <EquationSource Format="TEX">\(\tan \left( \frac{V(\eta )}{2}\right) -\)</EquationSource> </InlineEquation>expansion method. Trigonometric, hyperbolic, exponential, polynomial, and rational functions are obtained. The physical dynamics of the obtained solutions confirmed the existence of known complex structures, such as shock waves, dark solitons, periodic waves, and singular periodic solutions. The simulations generated in <i>Mathematica 11.3</i> are graphically presented to depict the nature of the acquired solutions. These results are novel and have not been reported previously in the literature.</p>

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Sub pico-second pulses in mono-mode optical fibers with Triki-Biswas model

  • Akhtar Hussain,
  • Tarek F. Ibrahim,
  • Faizah D. Alanazi,
  • Ariana Abdul Rahimzai,
  • Arafa A. Dawood,
  • Waleed M. Osman

摘要

This study explores the Triki-Biswas (TB) model, a novel model describing soliton dynamics in monomodal optical fibers with non-Kerr dispersion, to obtain optical solitons. Optical bright and singular solitons were derived using the generalized Jacobi elliptic function (gJEF) method and the \(\tan \left( \frac{V(\eta )}{2}\right) -\) expansion method. Trigonometric, hyperbolic, exponential, polynomial, and rational functions are obtained. The physical dynamics of the obtained solutions confirmed the existence of known complex structures, such as shock waves, dark solitons, periodic waves, and singular periodic solutions. The simulations generated in Mathematica 11.3 are graphically presented to depict the nature of the acquired solutions. These results are novel and have not been reported previously in the literature.