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arXiv 2015-04-14 0 views

Dressing by regularization to the Gerdjikov-Ivanov equation and the higher-order soliton

Yang, Juanjuan · Zhu, Junyi · Wang, Linlin

Original · EN

Higher-order solitons, as well as simple N-soliton solutions, of the Gerdjikov-Ivanov equation are derived by the dressing method based on the technique of regularization. By the dressing transformation for the eigenfunction associated with a seed solution, the regularity conditions of the dressed eigenfunctions are found to establish the relationship between the potential and the scattering data.

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