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

Abstract

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.

9 pages

References in corpus (3)

• Algebraic Structure of Discrete Zero Curvature Equations and Master Symmetries of Discrete Evolution Equations
• On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations
• The determinant representation of the gauge transformation for the discrete KP hierarchy

Cited by in corpus (5)

• Integrable properties of the differential-difference Kadomtsev-Petviashvili hierarchy and continuum limits
• The gauge transformation of the constrained semi-discrete KP hierarchy
• The compatibility of additional symmetry and gauge transformations for the constrained discrete Kadomtsev-Petviashvili hierarchy
• Ghost symmetry of the discrete KP hierarchy
• Symmetries for the Ablowitz-Ladik hierarchy: II. Integrable discrete nonlinear Schrödinger equation and discrete AKNS hierarchy