Abdullah Alzahrani
Jeddah-21589, Saudi Arabia
Department of Mathematics, King Abdulaziz University
Publications:
González-Gaxiola O., Biswas A., Asma M., Alzahrani A. K.
Optical Dromions and Domain Walls with the Kundu – Mukherjee – Naskar Equation by the Laplace – Adomian Decomposition Scheme
2020, vol. 25, no. 4, pp. 338-348
Abstract
This paper numerically addresses optical dromions and domain walls that are
monitored by Kundu – Mukherjee – Naskar equation. The Kundu – Mukherjee – Naskar equation
is considered because this model describes the propagation of soliton dynamics in optical fiber
communication system. The scheme employed in this work is Laplace – Adomian decomposition
type. The accuracy of the scheme is $O(10^{-8})$ and the physical structure of the obtained solutions
are shown by graphic illustration in order to give a better understanding on the dynamics of
both optical dromions and domain walls.
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Biswas A., Kara A. H., Zhou Q., Alzahrani A. K., Belic M. R.
Conservation Laws for Highly Dispersive Optical Solitons in Birefringent Fibers
2020, vol. 25, no. 2, pp. 166-177
Abstract
This paper reports conservation laws for highly dispersive optical solitons in
birefringent fibers. Three forms of nonlinearities are studied which are Kerr, polynomial and
nonlocal laws. Power, linear momentum and Hamiltonian are conserved for these types of
nonlinear refractive index.
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