Optical Soliton Solutions to Gerdjikov-Ivanov Equation Without Four-Wave Mixing Terms in Birefringent Fibers by Extended Trial Function Scheme

Authors

  • Emad E. M. Mikael Department of Mathematics, Faculty of Science, University of Tobruk, Tobruk, Libya
  • Abdulmalik A. Altwaty Department of Mathematics, Faculty of Science, University of Benghazi, AL KUFRA, Libya
  • Bader R. K. Masry Department of Mathematics, Faculty of Science, University of Tobruk, Tobruk,

DOI:

https://doi.org/10.54172/mjsc.v36i1.23

Keywords:

Birefringent Fibers, The Coupled Gerdjikov-Ivanov Model Without Four-Wave Mixing Terms, Extended Trial Function Scheme, Optical Solutions

Abstract

Without four-wave mixing terms in birefringent fibers, the extended trial function scheme was used to obtain optical soliton solutions for the coupled system corresponding to the Gerdjikov-Ivanov equation. The procedure reveals singular soliton solutions, bright soliton solutions, and highly important solutions in terms of Jacobi’s elliptic function. And in the limiting case of the modulus of ellipticity, singular and singular-periodic soliton solutions, along with their respective existence criteria.

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References

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Published

2021-03-31

How to Cite

Mikael, E. E. M., Altwaty, A., & Masry, B. . (2021). Optical Soliton Solutions to Gerdjikov-Ivanov Equation Without Four-Wave Mixing Terms in Birefringent Fibers by Extended Trial Function Scheme. Al-Mukhtar Journal of Sciences, 36(1), 67–72. https://doi.org/10.54172/mjsc.v36i1.23

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