期刊
WAVE MOTION
卷 51, 期 7, 页码 1149-1160出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.wavemoti.2014.07.001
关键词
Generalized Darboux transformation; Localized wave; Rogue wave; Breather; Coupled Hirota equations
资金
- National Natural Science Foundation of China [11275072, 61321064]
- Research Fund for the Doctoral Program of Higher Education of China [20120076110024]
- Innovative Research Team Program of the National Natural Science Foundation of China
- Shanghai Knowledge Service Platform for Trustworthy Internet of Things [ZF1213]
- Shanghai Minhang District
- Talent Fund
- Ningbo University
In this paper, we construct a generalized Darboux transformation to the coupled Hirota equations with high-order nonlinear effects like the third dispersion, self-steepening and inelastic Raman scattering terms. As application, an Nth-order localized wave solution on the plane backgrounds with the same spectral parameter is derived through the direct iterative rule. In particular, some semi-rational, multi-parametric localized wave solutions are obtained: (1) vector generalization of the first- and the second-order rogue wave solutions; (2) interactional solutions between a dark-bright soliton and a rogue wave, two dark-bright solitons and a second-order rogue wave; (3) interactional solutions between a breather and a rogue wave, two breathers and a second-order rogue wave. The results further reveal the striking dynamic structures of localized waves in complex coupled systems. (C) 2014 Elsevier B.V. All rights reserved.
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