Bilinear equation and additional symmetries for an extension of the Kadomtsev-Petviashvili hierarchy

Abstract

An extension of the Kadomtsev-Petviashvili (KP) hierarchy defined via scalar pseudo-differential operators was studied in [16, 20]. In this paper, we represent the extended KP hierarchy into the form of bilinear equation of (adjoint) Baker-Akhiezer functions, and construct its additional symmetries. As a byproduct, we derive the Virasoro symmetries for the constrained KP hierarchies.

23 pages, some typos are corrected

References in corpus (2)

• From Additional Symmetries to Linearization of Virasoro Symmetries
• An extension of the Kadomtsev-Petviashvili hierarchy and its Hamiltonian structures

Cited by in corpus (1)

• Infinite-dimensional Frobenius Manifolds Underlying the Universal Whitham Hierarchy