Open AccessBright, dark, and singular optical soliton solutions for perturbed Gerdjikov-Ivanov equation
Author(s) -
Esma Ulutaş,
Mustafa İnç,
Dumitru Băleanu,
Sunil Kumar
Publication year - 2021
Publication title -
thermal science/thermal science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.339
H-Index - 43
eISSN - 2334-7163
pISSN - 0354-9836
DOI - 10.2298/tsci21s2151u
Subject(s) - ansatz , elliptic function , physics , jacobi elliptic functions , mathematical physics , limiting , soliton , mathematical analysis , perturbation (astronomy) , pulse (music) , mathematics , optics , quantum mechanics , nonlinear system , mechanical engineering , detector , engineering
This study consider Gerdjikov-Ivanov equation where the perturbation terms appear with full non-linearity. The Jacobi elliptic function ansatz method is implemented to obtain exact solutions of this equation that models pulse dynamics in optical fibers. It is retrieved some bright, dark optical and singular solitons profile in the limiting cases of the Jacobi elliptic functions. The constraint conditions depending on the parameters for the existence of solitons are also presented.