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Dispersive optical soliton solutions in birefringent fibers with stochastic Kaup–Newell equation having multiplicative white noise.

Authors :
Zayed, Elsayed M. E.
El‐Horbaty, Mahmoud
Gepreel, Khaled A.
Source :
Mathematical Methods in the Applied Sciences. Jan2024, Vol. 47 Issue 1, p352-370. 19p.
Publication Year :
2024

Abstract

In this article, we study for the first time the stochastic Kaup–Newell equation in birefringent fibers. Three integration algorithms are applied, namely, the unified Riccati equation expansion method, the addendum to Kudryashov's method, and the addendum to modified sub‐ODE method. Many types of optical soliton solutions such as Jacobi‐elliptic function solutions, Weierstrass elliptic function solutions, bright solitons, dark solitons, singular solitons, and periodic function solutions are obtained. Numerical schemes give a visual perspective to the solutions derived analytically. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01704214
Volume :
47
Issue :
1
Database :
Academic Search Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
174373521
Full Text :
https://doi.org/10.1002/mma.9658