Article ID Journal Published Year Pages File Type
5024354 Nonlinear Analysis: Real World Applications 2018 30 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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