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arxiv: 0908.0382 · v1 · pith:6HMVUIGTnew · submitted 2009-08-04 · 🌊 nlin.SI

Symmetries and Lie algebra of the differential-difference Kadomstev-Petviashvili hierarchy

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keywords symmetriesalgebradifferential-differencehierarchykadomstev-petviashviliconstructdimensionalflows
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By introducing suitable non-isospectral flows we construct two sets of symmetries for the isospectral differential-difference Kadomstev-Petviashvili hierarchy. The symmetries form an infinite dimensional Lie algebra.

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