Breather waves, high-order rogue waves and their dynamics in the coupled nonlinear Schrödinger equations with alternate signs of nonlinearities

We consider the analytic vector breather and high-order rogue wave solutions for the coupled nonlinear Schrödinger (NLS) equations with alternate signs of nonlinearities via Darboux dressing transformation. By adjusting spectral parameters, we indicate that the breather wave solutions contain tempor...

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Published in:Europhysics letters 2019-09, Vol.127 (5), p.50005
Main Authors: Peng, Wei-Qi, Tian, Shou-Fu, Zhang, Tian-Tian
Format: Article
Language:English
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02.30.Ik
05.45.Yv
52.35.Mw
Breathers
Nonlinear dynamics
Nonlinearity
Schrodinger equation
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description We consider the analytic vector breather and high-order rogue wave solutions for the coupled nonlinear Schrödinger (NLS) equations with alternate signs of nonlinearities via Darboux dressing transformation. By adjusting spectral parameters, we indicate that the breather wave solutions contain temporally periodic nonlinear waves and spatially periodic nonlinear waves, respectively. The vector rogue wave solutions include the bright one-peak-two-valleys rogue wave and the bright rogue wave without valleys. Additionally, we successfully show different types of the distributions for the second-order vector rogue waves. The existence condition for the rogue waves is discussed. For the coupled NLS equations with alternate signs of nonlinearities, the rogue wave solutions exist if the baseband modulation instability (MI) is present.
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subjects 02.30.Ik
05.45.Yv
52.35.Mw
Breathers
Nonlinear dynamics
Nonlinearity
Schrodinger equation
title Breather waves, high-order rogue waves and their dynamics in the coupled nonlinear Schrödinger equations with alternate signs of nonlinearities
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