Cubic-quartic bright optical solitons with improved Adomian decomposition method

O González-Gaxiola; Anjan Biswas; Fouad Mallawi; Milivoj R Belic

doi:10.1016/j.jare.2019.10.004

Cubic-quartic bright optical solitons with improved Adomian decomposition method

J Adv Res. 2019 Oct 23:21:161-167. doi: 10.1016/j.jare.2019.10.004. eCollection 2020 Jan.

Authors

O González-Gaxiola¹, Anjan Biswas^{2

3

4

5}, Fouad Mallawi³, Milivoj R Belic⁶

Affiliations

¹ Departamento de Matemáticas Aplicadas y Sistemas, Universidad Autónoma Metropolitana-Cuajimalpa, Vasco de Quiroga 4871, 05348 Mexico City, Mexico.
² Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-7500, USA.
³ Department of Mathematics, King Abdulaziz University, Jeddah-21589, Saudi Arabia.
⁴ Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Shosse, Moscow-115409, Russian Federation.
⁵ Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria-0008, South Africa.
⁶ Science Program, Texas A&M University at Qatar, Doha, Qatar.

Abstract

This paper numerically retrieves cubic-quartic solitons having power law of nonlinearity refractive index. An improvement of the Adomian decomposition scheme is the adopted algorithm of this work. The results are displayed along with the established error analysis.

Keywords: Cubic-quartic solitons; Higher-order dispersion; Laplace transform; Refractive index.