Coupled Gerdjikov-Ivanov System and its Exact Solutions through Darboux Transformation | Zendy

Zaheer Abbas | Zendy

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Coupled Gerdjikov-Ivanov System and its Exact Solutions through Darboux Transformation

Author(s) -

Zaheer Abbas

Publication year - 2022

Publication title -

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.

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