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
1.2K
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).
read more
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.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Symmetries in Connection Preserving Deformations
TL;DR: In this paper, the root lattice of Backlund transformations of the q- analogue of the third and fourth Painlev e equations, which is of type ( A2 +A1) (1), may be expressed as a quotient of the lattices of connection preserving deformations.
The Schlesinger system and isomonodromic deformations of bundles with connections on Riemann surfaces
TL;DR: In this paper, the authors introduce a way to represent pairs (E, ∇), where E is a bundle on a Riemann surface and ∇ is a logarithmic connection in E, based on a representation of the surface as the quotient of the exterior of the unit disc.
1
•Posted Content
Poles Distribution of PVI Transcendents close to a Critical Point
Davide Guzzetti
- 27 Apr 2011
1
•Posted Content
The sixth Painleve' equation as isomonodromy deformation of an irregular system: monodromy data, coalescing eigenvalues, locally holomorphic transcendents and Frobenius manifolds
Gabriele Degano,Davide Guzzetti +1 more
TL;DR: In this paper, a 3-dimensional Pfaffian system with irregular singularity at infinity and Fuchsian at zero is considered and its Frobenius integrability is equivalent to the sixth Painleve' equation PVI.
1
•Posted Content
On the Riemann-Hilbert problem for a $q$-difference Painlev\'e equation
Nalini Joshi,Pieter Roffelsen +1 more
TL;DR: In this paper, a Riemann-Hilbert problem for a $q$-difference Painleve equation, known as $q\textrm{P}_{\textm{IV}}$, is shown to be solvable.
1
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.
587
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.
584