Virasoro symmetry of the constrained multi-component KP hierarchy and its integrable discretization

Abstract

In this paper, we construct the Virasoro type additional symmetries of a kind of constrained multi-component KP hierarchy and give the Virasoro flow equation on eigenfunctions and adjoint eigenfunctions. It can also be seen that the algebraic structure of the Virasoro symmetry is kept after discretization from the constrained multi-component KP hierarchy to the discrete constrained multi-component KP hierarchy.

20 Pages, Theoretical and Mathematical Physics, 187(2016), 871-887

References in corpus (5)

• Block type symmetry of bigraded Toda Hierarchy
• The extended $Z_N$-Toda hierarchy
• Block algebra in two-component BKP and D type Drinfeld-Sokolov hierarchies
• On the extended multi-component Toda hierarchy
• Virasoro type algebraic structure hidden in the constrained discrete KP hierarchy

Cited by in corpus (1)

• Quantum torus symmetries of multicomponent modified KP hierarchy and reductions