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Numerical simulation of cubic-quartic optical soliton perturbation with Lakshmanan-Porsezian-Daniel model by Laplace-Adomian decomposition

O. GONZÁLEZ – GAXIOLA1, ANJAN BISWAS2,3,4,5,6,* , YAKUP YILDIRIM7, HASHIM M. ALSHEHRI3

Affiliation

  1. Applied Mathematics and Systems Department, Universidad Autónoma Metropolitana-Cuajimalpa, Vasco de Quiroga 4871, 05348 Mexico City, Mexico
  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 Computer Engineering, Biruni University, 34010 Istanbul, Turkey

Abstract

This paper studies cubic-quartic optical soliton dynamics numerically. The model is governed by Lakshmanan-PorsezianDaniel equation that is addressed by the application of Laplace-Adomian decomposition scheme. Bright and dark soliton solutions are studied and the appealing error measures are also displayed.

Keywords

Nonlinear Schrödinger equation, Lakshmanan-Porsezian-Daniel model, Solitons, Laplace transforms, Adomian decomposition method.

Citation

O. GONZÁLEZ – GAXIOLA, ANJAN BISWAS, YAKUP YILDIRIM, HASHIM M. ALSHEHRI, Numerical simulation of cubic-quartic optical soliton perturbation with Lakshmanan-Porsezian-Daniel model by Laplace-Adomian decomposition, Optoelectronics and Advanced Materials - Rapid Communications, 16, 7-8, July-August 2022, pp.336-341 (2022).

Submitted at: Dec. 31, 2021

Accepted at: Aug. 10, 2022