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arXiv · 1611.10057

General soliton solutions to a coupled Fokas-Lenells equation

Liming Ling·Bao-Feng Feng·Zuonong Zhu
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Abstract

In this paper, we firstly establish the multi-Hamiltonian structure and infinite 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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Liming Ling, Bao-Feng Feng, Zuonong Zhu. 2016-11-30. General soliton solutions to a coupled Fokas-Lenells equation. https://arxiv.org/abs/1611.10057

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