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2013
Impact Factor

# 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. Keywords: Kundu – Mukherjee – Naskar equation, optical dromions, domain walls, Laplace – Adomian decomposition method, Adomian polynomials Citation: 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, Regular and Chaotic Dynamics, 2020, vol. 25, no. 4, pp. 338-348 DOI:10.1134/S1560354720040036
 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. Keywords: conservation laws, highly dispersive solitons, birefringent fibers Citation: Biswas A., Kara A. H., Zhou  Q., Alzahrani A. K., Belic M. R.,  Conservation Laws for Highly Dispersive Optical Solitons in Birefringent Fibers, Regular and Chaotic Dynamics, 2020, vol. 25, no. 2, pp. 166-177 DOI:10.1134/S1560354720020033