Method for Generating Discrete Soliton Equation.III

スポンサーリンク

概要

• 論文の詳細を見る

• A method is given for generating hierarchies of soliton equations on whichinfinite dimensional subalgebras of g[ (oo) act infinitesimally. Various choices ofsubalgebras and discrete or continuous time evolutions lead to a variety of dif-ference or differential equations. As examples it is shown that i) the discretizationsof the KdV equations, the Boussinesq equation, the sine-Gordon equation andthe Toda lattice, and ii) the two dimensional generalized Toda lattice of typesA',", D'j", A'.',' and Cf" are reductions of the single component KP hierarchy.

• 社団法人日本物理学会の論文
• 1983-02-15

著者

• MIWA Tetsuji

  Research Institute for Mathematical Sciences, Kyoto University

• Jimbo Michio

  Department Of Mathematics Faculty Of Science Kyoto University

• Jimbo Michio

  Institute For Theoretical Physics State University Of New York At Stony Brook:research Institute For

• Miwa Tetsuji

  Research Institute For Mathematical Sciences Kyoto University

• Miwa Tetsuji

  Institute For Theoretical Physics State University Of New York At Stony Brook:research Institute For

• DATE Etsuro

  Faculty of General Education, Kyoto University

• Date Etsuro

  Department Of Mathematical Science Faculty Of Engineering Science Osaka University

• Date Etsuo

  Department Of Mathematical Science Faculty Of Engineering Science Osaka University

関連論文

• Determinant Formula for Solutions of the Quantum Knizhnik-Zamolodchikov Equation Associated with $U_q(sl_n)$ at $|q|=1$
• Supplement to Holonomic Quantum Fields. IV
• Holonomic Quantum Fields. V
• Holonomic Quantum Fields. IV
• Holonomic Quantum Fields III
• Holonomic Quantum Fields. II-The Riemann-Hilbert Problem-
• Holonomic Quantum Fields I
• Monodromy Preserving Deformation of Linear Differential Equations and Quantum Field Theory (非線形発展方程式に関する数理物理的研究(研究会報告))
• Holonomy Structure of Landau Singularities and Feynman Integrals
• Quasi-Periodic Solutions of the Orthogonal KP Equation-Transformation Groups for Soliton Equations V-
• Transformation Groups for Soliton Equations-Euclidean Lie Algebras and Reduction of the KP Hierarchy-
• KP Hierarchies of Orthogonal and Symplectic Type : Transformation Groups for Soliton Equations VI
• Operator Approach to the Kadomtsev-Petviashvili Equation : Transformation Groups for Soliton Equations III
• Notes on Highest Weight Modules of the Elliptic Algebra [numerical formula]
• On Quasi-Periodic Solutions of the Field Equation of the Classical Massive Thirring Model
• Method for Generating Discrete Soliton Equations.V
• Introduction to Microlocal Analysis
• Quasi-Periodic Solutions of the Sine-Gordon Equation and the Massive Thirring Model (Theory of Nonlinear Waves)
• New $R$ Matrices Associated with Cyclic Representations of $U\sb q(A\sp {(2)}\sb 2)$
• Cyclic Representations of $\textit{U}_q(\mathfrak{s}\mathcal{I}$(n+1, $\textbf{C}))$
• Method for Generating Discrete Soliton Equations.IV
• Method for Generating Discrete Soliton Equation.III
• Analogue of Inverse Scattering Therory for the Discrete Hill's Equation and Exact Solutions for the Periodic Toda Lattice
• Periodic Multi-Soliton Solutions of Korteweg-de Vries Equation and Toda Lattice
• Method for Generating Discrete Soliton Equation.II
• Method for Generating Discrete Soliton Equations.I
• Solitons and Infinite-Dimensional Lie Algebras
• Painleve Property of Monodromy Preserving Deformation Equations and the Analyticity of $\tau$ Functions
• Chifford Operators and Riemann's Monodromy Problem

もっと見る 閉じる

スポンサーリンク