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Cubic–quartic optical soliton perturbation with Gerdjikov–Ivanov equation by sine-Gordon equation approach

YAKUP YIDIRIM1, ANJAN BISWAS2,3,4,5,* , HASHIM M. ALSHEHRI3, MILIVOJ R. BELIC6

Affiliation

  1. Department of Mathematics, Faculty of Arts and Sciences, Near East University, 99138 Nicosia, Cyprus
  2. Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, Moscow–115409, Russian Federation
  3. Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah–21589, Saudi Arabia
  4. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa–0204, Pretoria, South Africa
  5. Department of Applied Sciences, Cross–Border Faculty, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati–800201, Romania
  6. Institute of Physics Belgrade, Pregrevica 118, 11080 Zemun, Serbia

Abstract

This paper recovers cubic–quartic optical solitons for the perturbed Gerdjikov–Ivanov equation. The scalar case and birefringent fibers are both covered. The perturbation terms appear with maximum permissible intensity. A complete spectrum of soliton solutions are recovered and listed.

Keywords

Cubic–quartic solitons, Perturbation, Gerdjikov–Ivanov equation.

Citation

YAKUP YIDIRIM, ANJAN BISWAS, HASHIM M. ALSHEHRI, MILIVOJ R. BELIC, Cubic–quartic optical soliton perturbation with Gerdjikov–Ivanov equation by sine-Gordon equation approach, Optoelectronics and Advanced Materials - Rapid Communications, 16, 5-6, May-June 2022, pp.236-242 (2022).

Submitted at: Oct. 21, 2021

Accepted at: June 6, 2022