A new fractional order soliton equation hierarchy and its integrable coupling system

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摘要

A fractional order soliton equation hierarchy is presented, which is a new Liouville integrable hierarchy and possesses bi-Hamiltonian structure. Finally, we obtain a integrable coupling system of this fractional order soliton equation hierarchy by applying a upper triangular matrix of Lie algebras.

论文关键词:Fractional order,Soliton equation hierarchy,Integrable coupling system

论文评审过程:Available online 18 April 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.04.022