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A generalized Tu formula and Hamiltonian structures of fractional AKNS hierarchy
Authors:Guo-cheng Wu  Sheng Zhang
Affiliation:a Key Laboratory of Numerical Simulation of Sichuan Province, Neijiang, Sichuan 641112, PR China
b College of Mathematics and Information Science, Neijiang Normal University, Neijiang, Sichuan 641112, PR China
c School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, PR China
Abstract:In this Letter, a generalized Tu formula is firstly presented to construct Hamiltonian structures of fractional soliton equations. The obtained results can be reduced to the classical Hamiltonian hierarchy of AKNS in ordinary calculus.
Keywords:Generalized Tu formula   Fractional Hamiltonian system   Fractional differentiable functions
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