A New Integrable Symplectic Map of Neumann Type

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概要

• 論文の詳細を見る

• The taonlinearizattion ajcproach is generalized to tlae case of the Netrnuann constr'aint associatedwith a discrete 3 x 3 rmatrix eigenx'altre probleraa. A new synaplectic IIIIP of the Netrraaann type isobtained by nonlinearization of the discrete eigenvaltre problezaa and its ad.joint one. A schenaefor generatirag the involtrtive systern of conserved integrals of the syuaaplectic rnap is proposed, bywhich the syrnplectic n'nap of the Netrznann type is ftrrther proved to coznpletely integrable. As anapplication, tlae calctrlation of' soltrtions f'or the hierarcluy of lattice soliton eqtrations coranectedto the discrete eigenvaltte problern is redtrced to the soltrtions of a systern of' ordinary difl'erentialequations pltrs a sinaple iterative process of the s)'raaplectic map of the N(161111211111 type.

• 社団法人日本物理学会の論文
• 1999-03-15

著者

• GENG Xianguo

  Department of Mathematics,Zhengzhou University

• Geng Xianguo

  Department Of Mathematics Zhengzhou Uneversity

• Geng Xianguo

  Department Of Mathematics Zhengzhou University

• Wu Yongtang

  Department of Computer Science,Hong Kong Baptist University

• Wu Yongtang

  Department Of Computer Science Hong Kong Baptist University

関連論文

• Darboux Transformation and Soliton Solutions for Generalized Nonlinear Schrodinger Equations
• New Finite-Dimensional Completely Integrable Systems Associated with the Sine-Gordon Equation
• A Multipotential Generalization of the Nonlinear Diffusion Equation : General Physics
• 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
• Some Trace Formulas for the Eigenvalue Problem of Schrodinger System

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