Conservation Laws and Self‐Consistent Sources for an Integrable Lattice Hierarchy Associated with a Three‐by‐Three Discrete Matrix Spectral Problem

Yu-Qing Li and Bao-Shu Yin

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: A lattice hierarchy with self‐consistent sources is deduced starting from a three‐by‐three discrete matrix spectral problem. The Hamiltonian structures are constructed for the resulting hierarchy. Liouville integrability of the resulting equations is demonstrated. Moreover, infinitely many conservation laws of the resulting hierarchy are obtained.

Date: 2014
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https://doi.org/10.1155/2014/235159

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:235159

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