Optical solitons and other solutions to Kaup–Newell equation with Jacobi elliptic function expansion method

In this paper, we studied Kaup–Newell (KN) equation in coupled vector form without four-wave mixing terms in birefringent fibers. We employed Jacobi elliptic function expansion method in order to demonstrate sub-pico-second optical soliton solutions. Beside bright and dark solitons, Jacobi elliptic function solutions and hyperbolic solutions are obtained. Moreover, the graphs for some solution are presented. © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature.

Authors
Ahmed H.M.1 , Rabie W.B.2 , Ragusa M.A. 3, 4
Journal
Analysis and Mathematical Physics
Publisher
Springer Basel
Number of issue
1
Language
English
Status
Published
Link
External link
DOI
10.1007/s13324-020-00464-2
Number
23
Volume
11
Year
2021
Organizations
  • 1 Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Cairo, Egypt
  • 2 Department of Physics and Engineering Mathematics, Higher Institute of Engineering and Technology, Tanta, Egypt
  • 3 Dipartimento di Matematica e Informatica, Universitá di Catania, Viale A.Doria 6, Catania, 95125, Italy
  • 4 RUDN University, 6 Miklukho, Maklay St, Moscow, 117198, Russian Federation
Keywords
Bright solitons; Dark solitons; Hyperbolic function solutions; Jacobi elliptic function expansion method; Jacobi elliptic function solutions; Kaup–Newell model
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/71918/
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