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Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. III
Abstract A unified treatment of monodromy and spectrum preserving deformations is presented. In particular a general procedure is described to reduce the latter into the former consistently. TheExpand
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Solitons and Infinite Dimensional Lie Algebras
Introduction §1. Fock Representation of gf(°°) §2. T Functions and the KP Hierarchy §3. Reduction to A[" §4. Fermions with 2 Components §5. Algebras B^ and Co §6. Spin Representation of J&TO §7.Expand
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Monodromy perserving deformation of linear ordinary differential equations with rational coefficients. II
Abstract We continue our investigation on the newly introduced concept of the τ function [1], associated with monodromy preserving deformations of a linear differential equation dY dx = A(x)Y . InExpand
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Transformation groups for soliton equations: IV. A new hierarchy of soliton equations of KP-type
A new approach to soliton equations, based on τ functions (or Hirota's dependent variables), vertex operators and the Clifford algebra of free fermions, is applied to study a new hierarchy ofExpand
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Algebraic Analysis of Solvable Lattice Models.
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On Hirota's difference equations
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Density matrix of an impenetrable Bose gas and the fifth Painlevé transcendent
Abstract The quantal system of Bose particles described by the non-linear Schrodinger equation i∂φ/∂t = - 1 2 ∂2φ/∂x2 + cφ∗φ2, with c= cxf∞ and via the ground state with finite particle density, isExpand
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Monodromy preserving deformation of linear ordinary differential equations with rational coefficients: I. General theory and τ-function
Abstract A general theory of monodromy preserving deformation is developed for a system of linear ordinary differential equations d Y d x =A(x)Y , where A(x) is a rational matrix. The non-linearExpand
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