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Stationary optical solitons with Kudryashov’s self–phase modulation and nonlinear chromatic dispersion

ABDULLAHI RASHID ADEM1, BASETSANA PAULINE NTSIME1, ANJAN BISWAS2,3,4,5,6,* , ANELIA DAKOVA7,8, MEHMET EKICI9, YAKUP YIDIRIM10, HASHIM M. ALSHEHRI3

Affiliation

  1. Department of Mathematical Sciences, University of South Africa, UNISA–0003, South Africa
  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, Pretoria, South Africa
  6. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762–4900, USA
  7. Physics and Technology Faculty, University of Plovdiv “Paisii Hilendarski", 24 Tsar Asen Street, 4000 Plovdiv, Bulgaria
  8. Institute of Electronics, Bulgarian Academy of Sciences, 72 Tzarigradcko Shossee, 1784 Sofia, Bulgaria
  9. Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey
  10. Department of Mathematics, Faculty of Arts and Sciences, Near East University, 99138 Nicosia, Cyprus

Abstract

This paper recovers stationary optical soliton solutions to the nonlinear Schrödinger’s equation that maintains Kudryashov’s law of refractive index. Both linear temporal evolution and generalized temporal evolution are considered. In both cases, the results are in terms of Appell’s hypergeometric function.

Keywords

Nonlinear chromatic dispersion, Kudryashov’s equation, Lie symmetry.

Citation

ABDULLAHI RASHID ADEM, BASETSANA PAULINE NTSIME, ANJAN BISWAS, ANELIA DAKOVA, MEHMET EKICI, YAKUP YIDIRIM, HASHIM M. ALSHEHRI, Stationary optical solitons with Kudryashov’s self–phase modulation and nonlinear chromatic dispersion, Optoelectronics and Advanced Materials - Rapid Communications, 16, 1-2, January-February 2022, pp.58-60 (2022).

Submitted at: Sept. 14, 2021

Accepted at: Feb. 10, 2022