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March 12, 2026Scientific ReportsOpen Access

Exploring the new classes of optical soliton solutions with diverse structure for the (2+1)–dimensional paraxial equation in fiber optics via two analytical methods

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Authors

IIIbrahim Sani IbrahimJSJamilu Sabi’uMIMujahid Iqbal

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Overview

Analytical techniques reveal new soliton solutions in optical fibers, suggesting insights for practical applications.

Key Points

  • This research investigates analytical solutions for the dimensionless time-dependent paraxial equation.
  • Utilized improved Sardar sub-equation and improved Riccati equation techniques.
  • Generated various soliton solutions including exponential, trigonometric, and dark solitons.
  • Applied techniques for the first time to the time-dependent paraxial equation.
  • Numerous soliton types were obtained, including anti-kink, peakon, kink, and bright solitons.
  • The findings provide a foundation for understanding optical soliton dynamics in nonlinear equations.
  • Insights can enhance applications in signal processing, optical communication, and beam shaping.

Cite This Study

Ibrahim et al. (2026) studied this question.

synapsesocial.com/papers/69b256fe96eeacc4fcec5bbehttps://doi.org/10.1038/s41598-026-42607-8
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