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- W2012318881 abstract "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 solution; (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." @default.
- W2012318881 created "2016-06-24" @default.
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- W2012318881 date "2013-12-12" @default.
- W2012318881 modified "2023-10-15" @default.
- W2012318881 title "Generalized Darboux transformation and localized waves in coupled Hirota equations" @default.
- W2012318881 doi "https://doi.org/10.48550/arxiv.1312.3436" @default.
- W2012318881 hasPublicationYear "2013" @default.
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