Bilinear equation and additional symmetries for an extension of the Kadomtsev-Petviashvili hierarchy
arXiv:1911.12727
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.
arXiv comment23 pages, some typos are corrected
References in corpus (5)
- Additional symmetries of KP, Grassmannian, and the string equation
- Virasoro Symmetry of Constrained KP Hierarchies
- The (N,M)-th KdV hierarchy and the associated W algebra
- From Additional Symmetries to Linearization of Virasoro Symmetries
- An extension of the Kadomtsev-Petviashvili hierarchy and its Hamiltonian structures