Generalized Darboux transformation and higher-order rogue wave solutions to the Manakov system
Keyword(s):
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
2020 ◽
Vol 107
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pp. 106382
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2019 ◽
Vol 71
(1)
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pp. 027
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2018 ◽
Vol 32
(26)
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pp. 1850309
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