Matrix Formulation of Hamiltonian Structures of Constrained KP Hierarchy
solv-int
2009-10-31 v2 Exactly Solvable and Integrable Systems
Abstract
We give a matrix formulation of the Hamiltonian structures of constrained KP hierarchy. First, we derive from the matrix formulation the Hamiltonian structure of the one-constraint KP hierarchy, which was originally obtained by Oevel and Strampp. We then generalize the derivation to the multi-constraint case and show that the resulting bracket is actually the second Gelfand-Dickey bracket associated with the corresponding Lax operator. The matrix formulation of the Hamiltonian structure of the one-constraint KP hierarchy in the form introduced in the study of matrix model is also discussed
Keywords
Cite
@article{arxiv.solv-int/9801019,
title = {Matrix Formulation of Hamiltonian Structures of Constrained KP Hierarchy},
author = {Wen-Jui Huang and Jiin-Chang Shaw and Ming-Hsien Tu},
journal= {arXiv preprint arXiv:solv-int/9801019},
year = {2009}
}
Comments
19 pages, Revtex, no figures. Minor changes, reference corrected