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Higher-Order Localized Waves in Coupled Nonlinear Schr?dinger Equations |
| WANG Xin1, YANG Bo2, CHEN Yong1**, YANG Yun-Qing2 |
1Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062
2School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan 316004
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WANG Xin, YANG Bo, CHEN Yong et al 2014 Chin. Phys. Lett. 31 090201 |
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Abstract Higher-order localized waves in coupled nonlinear Schr?dinger equations are investigated by the generalized Darboux transformation. We show that two dark-bright solitons together with a second-order rogue wave of fundamental or triangular pattern and two breathers together with a second-order rogue wave of fundamental or triangular pattern coexist in the second-order localized wave for the coupled system. Moreover, by increasing the value of one free parameter, the nonlinear waves in the second-order localized wave can merge with each other. The results further reveal the abundant dynamic behaviors of localized waves in coupled systems.
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Published: 22 August 2014
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