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Implicit quiescent optical solitons with complex Ginzburg–Landau equation having nonlinear chromatic dispersion

ABDULLAHI RASHID ADEM1, BASETSANA PAULINE NTSIME1, ANJAN BISWAS2,3,4,5,6,* , MEHMET EKICI7, YAKUP YILDIRIM8, HASHIM M. ALSHEHRI3

Affiliation

  1. Department of Mathematical Sciences, University of South Africa, UNISA–0003, South Africa
  2. Department of Mathematics and Physics, Grambling State University, Grambling, LA—71245, USA
  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 Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, Moscow–115409, Russian Federation
  7. Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey
  8. Department of Computer Engineering, Biruni University, 34010 Istanbul, Turkey

Abstract

This paper retrieves stationary (or quiescent) optical solitons to complex Ginzburg–Landau equation that comes with nine forms of nonlinear refractive index structures. The computer software package retrieves the soliton solutions to the reduced ordinary differential equation that emerges from Lie point symmetry. Both, linear temporal evolution as well as generalized temporal evolutions, are accounted for. All solutions that emerge from the software package are implicit..

Keywords

Nonlinear dispersion, Stationary solitons.

Submitted at: Jan. 15, 2022
Accepted at: Oct. 5, 2022

Citation

ABDULLAHI RASHID ADEM, BASETSANA PAULINE NTSIME, ANJAN BISWAS, MEHMET EKICI, YAKUP YILDIRIM, HASHIM M. ALSHEHRI, Implicit quiescent optical solitons with complex Ginzburg–Landau equation having nonlinear chromatic dispersion, Journal of Optoelectronics and Advanced Materials Vol. 24, Iss. 9-10, pp. 450-462 (2022)