Generalized Darboux transformation and higher-order rogue wave solutions to the Manakov system
AuthorMukam, Serge P.
Kuetche, Victor K.
Doka, Serge Yamigno
Thomas, Bouetou B.
Akınlar, Mehmet Ali
MetadataShow full item record
In this paper, we propose a recursive Darboux transformation in a generalized form of a focusing vector Nonlinear Schrödinger Equation (NLSE) known as the Manakov System. We apply this generalized recursive Darboux transformation to the Lax-pairs of this system in view of generating the Nth-order vector generalization rogue wave solutions with a rule of iteration. We discuss from first- to three-order vector generalizations of rogue wave solutions while illustrating these features with some 3D, 2D graphical depictions. We illustrate a clear connection between higher-order rogue wave solutions and their free parameters for better understanding the physical phenomena described by the Manakov system.
SourceInternational Journal of Modern Physics B
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