Finite dimensional integrable Hamiltonian systems associated with DSI equation by Bargmann constraints
Exactly Solvable and Integrable Systems
2009-11-07 v1
Abstract
The Davey-Stewartson I equation is a typical integrable equation in 2+1 dimensions. Its Lax system being essentially in 1+1 dimensional form has been found through nonlinearization from 2+1 dimensions to 1+1 dimensions. In the present paper, this essentially 1+1 dimensional Lax system is further nonlinearized into 1+0 dimensional Hamiltonian systems by taking the Bargmann constraints. It is shown that the resulting 1+0 dimensional Hamiltonian systems are completely integrable in Liouville sense by finding a full set of integrals of motion and proving their functional independence.
Cite
@article{arxiv.nlin/0103025,
title = {Finite dimensional integrable Hamiltonian systems associated with DSI equation by Bargmann constraints},
author = {Zixiang Zhou and Wen-Xiu Ma},
journal= {arXiv preprint arXiv:nlin/0103025},
year = {2009}
}
Comments
10 pages, in LaTeX, to be published in J. Phys. Soc. Jpn. 70 (2001)