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, issue 1

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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https://doi.org/10.1155/2014/214709

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:214709

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