Explicit Solutions of the 2+1-Dimensional Modified Toda Lattice through Straightening out of the Relativistic Toda Flows(General)

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概要

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• The 2+1-dimensional modified Toda lattice is decomposed into solvable ordinary differential equations with the help of the 1+1-dimensional relativistic Toda lattices. Based on the decomposition and the theory of algebraic curve, the straightening out of various flows, including the continuous flow and discrete flow, is exactly given through the introduced Abel-Jacobi coordinates. The explicit theta function solutions for the 2+1-dimensional modified Toda lattice are obtained explicitly.

• 社団法人日本物理学会の論文
• 2003-12-15

著者

• Geng X

  Department Of Mathematics Zhengzhou University

• Geng Xianguo

  Department Of Mathematics Zhengzhou Uneversity

• DAI H.

  Department of Mathematics, City University of Hong Kong

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• Explicit Solutions of the 2+1-Dimensional Modified Toda Lattice through Straightening out of the Relativistic Toda Flows(General)
• A New Integrable Symplectic Map of Neumann Type

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