Poisson Algebras associated with Constrained Dispersionless Modified KP Hierarchies
Jen-Hsu Chang, Ming-Hsien Tu
Abstract
We investigate the bi-Hamiltonian structures associated with constrained dispersionless modified KP hierarchies which are constructed from truncations of the Lax operator of the dispersionless modified KP hierarchy. After transforming their second Hamiltonian structures to those of Gelfand-Dickey type, we obtain the Poisson algebras of the coefficient functions of the truncated Lax operators. Then we study the conformal property and free-field realizations of these Poisson algebras. Some examples are worked out explicitly to illustrate the obtained results.
Create a lesson
Related papers
Nonlinear Spectral Computing
Ludovica Falsi, Francesco Coppini, Claudio Conti
The Riemann theta function near soliton limit
Yuji Kodama
Correlation functions of the 19-vertex IRF model and its integrable quantum spin-1 chain
T. S. Tavares, H. B. Abreu, G. A. P. Ribeiro
A novel extension of the canonical 2+1-dimensional Dym equation. Moving boundary problems solvable via Painleve' II Reduction
Colin Rogers, Sandra Carillo
A solution to the quantum Yang--Baxter equation associated with a universal two-valued algebraic group
Victor M. Buchstaber
Asymptotic behavior analysis of solutions to the Heisenberg ferromagnet equation with the Schwartz initial data
Xumeng Zhou, Xianguo Geng, Bo Xue