A Vector Fokas-Lenells System from the Coupled Nonlinear Schrödinger Equations
A Vector Fokas-Lenells System from the Coupled Nonlinear Schrödinger Equations
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DOI：
10.1080/14029251.2015.996445
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发表时间：
2015-01
影响因子：
0.7
通讯作者：
Mengxia Zhang;Shao-Ling He;Shuqiang Lv
中科院分区：
文献类型：
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作者：
Mengxia Zhang;Shao-Ling He;Shuqiang Lv
借助于Fuchssteiner的谱梯度方法，重新发现了耦合NLS族的相容Hamilton算子对。这个结果使我们能够构造一个包含Fokas-Lenells系统的向量推广的层次。矢量Fokas-Lenells系统被证明是双哈密顿的，并拥有一个Lax对。
With the aid of the spectral gradient method of Fuchssteiner, the compatible pair of Hamiltonian operators for the coupled NLS hierarchy is rediscovered. This result enables us to construct a hierarchy, which contains a vector generalization of Fokas-Lenells system. The vector Fokas-Lenells system is shown to be bi-Hamiltonian and to possess a Lax pair.