For the Davey-Stewartson I equation, which is an integrable equation in 1+2 dimensions, we have already found its Lax pair in 1+1 dimensional form by nonlinear constraints. This paper deals with the second nonlinearization of this 1+1 dimensional system to get three 1+0 dimensional Hamiltonian systems with a constraint of Neumann type. The full set of… (More)

@inproceedings{Zhou2001FinitedimensionalIS,
title={Finite-dimensional integrable systems associated with Davey-Stewartson I equation},
author={Zixiang Zhou},
year={2001}
}