Virasoro type algebraic structure hidden in the constrained discrete KP hierarchy

Abstract

In this paper, we construct the additional symmetries of one-component constrained discrete KP (cdKP) hierarchy, and then prove that the algebraic structure of the symmetry flows is the positive half of Virasoro algebra.

13 pages

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Cited by in corpus (6)

• Quantum Torus symmetry of the KP, KdV and BKP hierarchies
• 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
• Quantum Torus symmetries of the CKP and multi-component CKP hierarchies
• The wronskian solution of the constrained discrete KP hierarchy
• Virasoro symmetry of the constrained multi-component KP hierarchy and its integrable discretization