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JOURNALS // Regular and Chaotic Dynamics // Archive

Regul. Chaotic Dyn., 2020 Volume 25, Issue 2, Pages 166–177 (Mi rcd1057)

This article is cited in 27 papers

Conservation Laws for Highly Dispersive Optical Solitons in Birefringent Fibers

Anjan Biswasabcd, Abdul H. Karae, Qin Zhouf, Abdullah Kamis Alzahranib, Milivoj R. Belicg

a Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria-0008, South Africa
b Department of Mathematics, King Abdulaziz University, Jeddah-21589, Saudi Arabia
c Department of Applied Mathematics, National Research Nuclear University MEPhI, Kashirskoe sh. 31, Moscow, 115409 Russia
d Department of Physics, Chemistry and Mathematics, Alabama A\&M University, Normal, AL 35762-4900, USA
e School of Mathematics, University of the Witwatersrand, Private Bag 3, Wits-2050, Johannesburg, South Africa
f School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan-430212, People’s Republic of China
g Science Program, Texas A \& M University at Qatar, PO Box 23874, Doha, Qatar

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.

MSC: 78A60

Received: 16.01.2020
Accepted: 03.03.2020

Language: English

DOI: 10.1134/S1560354720020033



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