An integrable generalization of the super AKNS hierarchy and its bi-Hamiltonian formulation

Jing Yu,Wen-Xiu Ma,Jingwei Han,Shouting Chen

Communications in Nonlinear Science and Numerical Simulation（2017）

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摘要

•Based on a Lie super-algebra B(0,1), a new generalized super AKNS hierarchy is introduced.•By making use of the super-trace identity, the obtained generalized super AKNS hierarchy can be written as the super bi-Hamiltonian formulation.•A generalized super AKNS hierarchy with self-consistent sources is also derived by making use of the variational derivative.

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关键词

A Lie super-algebra,Super Hamiltonian structure,Self-consistent sources

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