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

• Emad E. M. Mikael

  Department of Mathematics, Faculty of Science, University of Tobruk, Tobruk, Libya

  Author

• Abdulmalik Altwaty

  Department of Mathematics, Faculty of Science, University of Benghazi, AL KUFRA, Libya

  Author

• Bader Masry

  Department of Mathematics, Faculty of Science, University of Tobruk, Tobruk,

  Author

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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