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

Zixiang Zhou·Wen-Xiu Ma
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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.

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Zixiang Zhou, Wen-Xiu Ma. 2001-03-17. Finite dimensional integrable Hamiltonian systems associated with DSI equation by Bargmann constraints. https://doi.org/10.1143/jpsj.70.1241

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