Finite Dimensional Integrable Hamiltonian Systems Associated with DSI Equation by Bargmann Constraints : General Physics

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概要

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• 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.

• 社団法人日本物理学会の論文
• 2001-05-15

著者

• Ma Wen-xiu

  Department Of Mathematics University Of South Florida

• Ma Wen-xiu

  Department Of Mathematics City University Of Hong Kong

• ZHOU Zixiang

  Institute of Mathematics, Fudan University

• Zhou Z

  Fudan Univ. Shanghai Chn

• Zhou Zixiang

  Institute Of Mathematics Fudan University

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