Generalized Darboux transformation and higher-order rogue wave solutions to the Manakov system
Exactly Solvable and Integrable Systems
2016-05-23 v1 Mathematical Physics
math.MP
Pattern Formation and Solitons
Abstract
In this paper, we construct a generalized recursive Darboux transformation of a focusing vector nonlinear Schr\"odinger equation 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 the same spectral parameter through a direct iteration rule. As a result, we discuss the first, second and third-order vector generalization rogue wave solutions while illustrating these features with some depictions. We show that higher-order rogue wave solutions depend on the values of their free parameters.
Keywords
Cite
@article{arxiv.1605.06132,
title = {Generalized Darboux transformation and higher-order rogue wave solutions to the Manakov system},
author = {Serge P. Mukam and Victor K. Kuetche and Thomas B. Bouetou},
journal= {arXiv preprint arXiv:1605.06132},
year = {2016}
}
Comments
20 pages, 13 figures