Journal
PHYSICS LETTERS A
Volume 380, Issue 25-26, Pages 2136-2141Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2016.04.033
Keywords
Rational solitary wave; Rogue wave; Coupled defocusing Hirota equation; Modulational instability
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We derive and study a general rational solution of a coupled defocusing Hirota equation which can be used to describe evolution of light in a two-mode fiber with defocusing Kerr effect and some certain high-order effects. We find some new excitation patterns in the model, such as M-shaped soliton, W-shaped soliton, anti-eye-shaped rogue wave and four-petaled flower rogue wave. The results are compared with the solutions obtained in other coupled systems like vector nonlinear Schrodinger equation, coupled focusing Hirota and Sasa-Satsuma equations. We explain the new characters by modulational instability properties. This further indicates that rational solution does not necessarily correspond to rogue wave excitation dynamics and the quantitative relation between nonlinear excitations and modulational instability should exist. (C) 2016 Elsevier B.V. All rights reserved.
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