Super-Hamiltonian Structures and Conservation Laws of a New Six-Component Super-Ablowitz-Kaup-Newell-Segur Hierarchy

Fucai You, Jiao Zhang and Yan Zhao

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

Abstract:

A six-component super-Ablowitz-Kaup-Newell-Segur (-AKNS) hierarchy is proposed by the zero curvature equation associated with Lie superalgebras. Supertrace identity is used to furnish the super-Hamiltonian structures for the resulting nonlinear superintegrable hierarchy. Furthermore, we derive the infinite conservation laws of the first two nonlinear super-AKNS equations in the hierarchy by utilizing spectral parameter expansions. PACS: 02.30.Ik; 02.30.Jr; 02.20.Sv.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:214709

DOI: 10.1155/2014/214709

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