Open AccessCoupled Gerdjikov-Ivanov System and its Exact Solutions through Darboux Transformation
Author(s) -
Zaheer Abbas
Publication year - 2022
Publication title -
the punjab university journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 1016-2526
DOI - 10.52280/pujm.2022.540302
Subject(s) - breather , zero (linguistics) , transformation (genetics) , soliton , mathematical physics , physics , darboux integral , mathematics , mathematical analysis , quantum mechanics , chemistry , nonlinear system , geometry , linguistics , biochemistry , curvature , philosophy , gene
The coupled Gerdjikov-Ivanov (GI) system is discussed and its elementary Darboux transformation (DT) is constructed. From elementary (DT), we constructed 2N-fold (DT). The symmetrical properties of the Lax pair and iteration of 2N-fold (DT) give different types of solutions for both zero seed and non-zero seed. Zero seed solutions include brightbright (one and two) Soliton solutions. In non-zero seed solutions, we obtained breather, Ma breather, dark-bright Soliton, breather fission, and dark-bright rogue wave solutions are obtained and plot it.