1. Generalized Darboux transformation and higher-order rogue wave solutions to the Manakov system.
- Author
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Mukam, Serge P., Abbagari, Souleymanou, Houwe, Alphonse, Kuetche, Victor K., Inc, Mustafa, Doka, Serge Y., Bouetou, Thomas B., and Akinlar, Mehmet Ali
- Subjects
- *
ROGUE waves , *DARBOUX transformations , *NONLINEAR Schrodinger equation , *PHENOMENOLOGICAL theory (Physics) - Abstract
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 [ABSTRACT FROM AUTHOR]
- Published
- 2021
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