Generalized Darboux transformation and higher-order rogue wave solutions to the Manakov system
YazarMukam, Serge P.
Kuetche, Victor K.
Doka, Serge Yamigno
Thomas, Bouetou B.
Akınlar, Mehmet Ali
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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.
KaynakInternational Journal of Modern Physics B
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