Dispersionless noncommutative Kadomtsev–Petviashvili hierarchy: Multi-Hamiltonian structure and large N-like V-algebras |
| |
Institution: | Department of Physics, Ocean University of China, 5-Yushan Rd., Qingdao 266003, PR China |
| |
Abstract: | We propose a dispersionless limit of the NC Kadomtsev–Petviashvili hierarchy. Multi-Hamiltonian formulation, l-reductions and relevant W-algebras are investigated. As examples, Gelfand–Dickey (GD) Poisson brackets for dispersionless NCKdV and NC Boussinesq hierarchies are constructed explicitly. The associated GD Poisson algebras are shown large N-like analogs of classical V-algebras. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|