Numerical study of highly dispersive optical solitons with differential group delay having quadratic-cubic law of refractive index by Laplace–Adomian decomposition

Author:

González-Gaxiola O.1,Biswas Anjan2345,Zhou Qin36,Alshehri Hashim M.3

Affiliation:

1. Applied Mathematics and Systems Department, Universidad Autónoma Metropolitana-Cuajimalpa, Vasco de Quiroga 4871, 05348 Mexico City, Mexico

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 Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa-0204, Pretoria, South Africa

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

6. School of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan-430200, P. R. China

Abstract

This paper carries out numerical simulations of highly dispersive optical solitons with differential group delay having quadratic-cubic law of nonlinearity. The Laplace–Adomian decomposition scheme is implemented to visualize the soliton propagation dynamics. Both bright and dark solitons are addressed. The error measure for these numerical approximations is impressively low as presented.

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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