Optical solitons in birefringent fibers with Sasa–Satsuma equation having multiplicative noise with Itô calculus

Author:

Zayed Elsayed M. E.1,Alngar Mohamed E. M.1,Shohib Reham M. A.1,Biswas Anjan23456,Yıldırım Yakup7,Triki Houria8,Moshokoa Seithuti P.9,Alshehri Hashim M.3

Affiliation:

1. Mathematics Department, Faculty of Sciences, Zagazig University, Zagazig 44519, Egypt

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 Applied Sciences, Cross-Border Faculty, Dunarea de Jos University of Galati, 111 Domneasca Street, Galati 800201, Romania

5. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa 0204, South Africa

6. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-4900, USA

7. Department of Mathematics, Faculty of Arts and Sciences, Near East University, 99138 Nicosia, Cyprus

8. Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University, P. O. Box 12, 23000 Annaba, Algeria

9. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa

Abstract

This paper obtains soliton solutions to Sasa–Satsuma equation, which is studied in birefringent fibers with multiplicative noise. The extended auxiliary equation approach reveals solutions in terms of Jacobi’s elliptic functions from which bright, dark and singular solitons emerge when the limiting operation is applied to the modulus of ellipticity, with the limit approaching zero or unity.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Physics and Astronomy (miscellaneous),Atomic and Molecular Physics, and Optics,Electronic, Optical and Magnetic Materials

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