A Vector Fokas-Lenells System from the Coupled Nonlinear Schrodinger Equations

作者：Zhang, MengXia^*; He, ShaoLing; Lv, ShuQiang

来源：Journal of Nonlinear Mathematical Physics, 2015, 22(1): 144-154.

DOI：10.1080/14029251.2015.996445

• Hamiltonian operators
• Lax pair
• coupled nonlinear Schrodinger equation
• derivative nonlinear Schrodinger equation
• 37K10
• 35Q55

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.

• 出版日期2015
• 单位北京师范大学; 中国矿业大学（北京）; 北京联合大学应用文理学院