Volume 123, Number 5, September 2018
|Number of page(s)||6|
|Published online||05 October 2018|
Dynamics of breather waves and higher-order rogue waves in a coupled nonlinear Schrödinger equation
School of Mathematics and Institute of Mathematical Physics, China University of Mining and Technology Xuzhou 221116, PRC
Received: 18 June 2018
Accepted: 11 September 2018
We consider a coupled nonlinear Schrödinger (NLS) equation, which can be reduced to the generalized NLS equation by constituting a certain constraint. We first construct a generalized Darboux transformation (DT) for the coupled NLS equation. Then, by using the resulting DT, we analyse the solutions with vanishing boundary condition and non-vanishing boundary condition, respectively, including positon wave, breather wave and higher-order rogue wave solutions for the coupled NLS equation. Moreover, in order to better understand the dynamic behavior, the characteristics of these solutions are discussed through some diverting graphics under different parameters choices.
PACS: 02.30.Ik – Integrable systems / 05.45.Yv – Solitons / 52.35.Mw – Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.)
© EPLA, 2018
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