Volume 126, Number 1, April 2019
|Number of page(s)||6|
|Section||Physics of Gases, Plasmas and Electric Discharges|
|Published online||20 May 2019|
The three-component coupled nonlinear Schrödinger equation: Rogue waves on a multi-soliton background and dynamics
School of Mathematics, Harbin Institute of Technology - Harbin 150001, PRC
Received: 3 March 2019
Accepted: 8 April 2019
In this work, the three-component coupled nonlinear Schrödinger (tc-CNLS) equation is systemically investigated. By using the Darboux transformation, the new breather wave and rogue wave solutions of the tc-CNLS equation are constructed. These solutions exhibit breather waves and rogue waves on a multi-soliton background. Furthermore, the dynamic behaviors of these solutions are analyzed with some graphics. Our results can be of much importance in enriching and predicting rogue wave phenomena arising in nonlinear wave fields.
PACS: 52.35.Mw – Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.) / 02.30.Ik – Integrable systems / 05.45.Yv – Solitons
© EPLA, 2019
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