Finite dimensional integrable Hamiltonian systems associated with DSI equation by Bargmann constraints

Details Finite dimensional integrable Hamiltonian systems associated with DSI equation by Bargmann constraints Finite dimensional integrable Hamiltonian systems associated with DSI equation by Bargmann constraints

2001-03-17

arxiv.org/abs/nlin/0103025v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages, in LaTeX, to be published in J. Phys. Soc. Jpn. 70 (2001)

Scientific paper

10.1143/JPSJ.70.1241

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.

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