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Conservation laws for cubic–quartic optical solitons in birefringent fibers with Sasa–Satsuma equation

ANJAN BISWAS1,2,3,4,* , ABDUL H. KARA5, YAKUP YIDIRIM6,7, ABDULAH A. ALGHAMDI2

Affiliation

  1. Department of Mathematics and Physics, Grambling State University, Grambling, LA-71245, USA
  2. Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah–21589, Saudi Arabia
  3. Department of Applied Sciences, Cross–Border Faculty of Humanities, Economics and Engineering, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati–800201, Romania
  4. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa–0204, Pretoria, South Africa
  5. School of Mathematics, University of the Witwatersrand, Private Bag 3, Wits–2050, Johannesburg, South Africa
  6. Department of Computer Engineering, Biruni University, 34010 Istanbul, Turkey
  7. Department of Mathematics, Faculty of Arts and Sciences, Near East University, 99138 Nicosia, Cyprus

Abstract

This paper presents the conservation laws for optical cubic–quartic solitons in birefringent fibers where the governing model is Sasa–Satsuma equation. The multiplier approach reveals the conserved densities to the model. The conserved quantities are finally computed from these soliton solutions that were reported earlier.

Keywords

Solitons, Sasa–Satsuma, Birefringence, Conservation laws.

Citation

ANJAN BISWAS, ABDUL H. KARA, YAKUP YIDIRIM, ABDULAH A. ALGHAMDI, Conservation laws for cubic–quartic optical solitons in birefringent fibers with Sasa–Satsuma equation, Optoelectronics and Advanced Materials - Rapid Communications, 17, 1-2, January-February 2023, pp.88-89 (2023).

Submitted at: May 25, 2022

Accepted at: Feb. 6, 2023