Journal Article10.1016/0167-2789(81)90021-X
Monodromy perserving deformation of linear ordinary differential equations with rational coefficients. II
Michio Jimbo,Tetsuji Miwa +1 more
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TL;DR: In this article, a series of τ functions parametrized by integers are introduced and their ratios to the original τ function are then shown to be explicit rational expressions in terms of the coefficients of A(x).
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About: This article is published in Physica D: Nonlinear Phenomena. The article was published on 01 Jun 1981. The article focuses on the topics: Monodromy & Homogeneous differential equation.
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Citations
Orbits of TERP Structures and Mixed TERP Structures
Martin A. Guest,Claus Hertling +1 more
- 01 Jan 2017
TL;DR: The real solutions of P III (0, 0, 4, −4) on the P III problem are by (15.10) the functions f = f(mult{mult}(.,s,B) \in V{mat,\mathbb{R}
P3D6-TEJPA Bundles and Moduli Spaces of Their Monodromy Tuples
Martin A. Guest,Claus Hertling +1 more
- 01 Jan 2017
TL;DR: In this paper, the authors considered P 3D6-TEP bundles with TEP structures, and the TEP structure is unique up to isomorphism, which is the case of the P 2D-6 TEP bundles.
Some Elements about Ordinary Differential Equations
Eric Delabaere
- 01 Jan 2016
TL;DR: The main differences between solutions of linear versus nonlinear ODEs, when the question of their analytic continuation is considered, are discussed in this paper, and the fundamental existence theorem for Cauchy problems is given.
References
Non-linear equations of korteweg-de vries type, finite-zone linear operators, and abelian varieties
TL;DR: In this paper, a broad class of periodic and almost-periodic solutions of non-linear equations of mathematical physics to which (in the rapidly decreasing case) the method of the inverse scattering problem is applicable is presented.
Non-linear equations of korteweg-de vries type, finite-zone linear operators, and
Abelian Varieties,V. B. Matveev +1 more
- 01 Jan 2017
TL;DR: In this article, a broad class of periodic and almost-periodic solutions of non-linear equations of mathematical physics to which (in the rapidly decreasing case) the method of the inverse scattering problem is applicable is presented.
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Methods of algebraic geometry in the theory of non-linear equations
TL;DR: The problem of multi-dimensional -algebraic operators is studied in this article, where the Hamiltonian formalism in equations of Lax and Novikov types is considered.
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