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

Nonlinear Sciences – Exactly Solvable and Integrable Systems

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Scientific paper

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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