Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024354 | Nonlinear Analysis: Real World Applications | 2018 | 30 Pages |
Abstract
In this paper, we firstly establish the multi-Hamiltonian structure and infinitely many conservation laws for the vector Kaup-Newell hierarchy of the positive and negative orders. The first nontrivial negative flow corresponds to a coupled Fokas-Lenells equation. By constructing a generalized Darboux transformation and using a limiting process, all kinds of one-soliton solutions are constructed including the bright-dark soliton, the dark-anti-dark soliton and the breather-like solutions. Furthermore, multi-bright and multi-dark soliton solutions are derived and their asymptotic behaviors are investigated.
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Authors
Liming Ling, Bao-Feng Feng, Zuonong Zhu,