Results 41 to 50 of about 327 (99)

Painlevé VI, Isomonodromy, and Fredholm Determinants

open access: yes, 2019
The Painlevé equations appear naturally in various problems in theoretical physics, combinatorics, and other related areas. Although their existence has been known for over a century, methods of solving, and moreover, exact solutions to these equations ...
Hayford, Nathan
core   +1 more source

Isomonodromy, Painlevé transcendents and scattering off of black holes [PDF]

open access: yesJournal of High Energy Physics, 2014
40 pages, 4 figures, JHEP ...
Novaes, Fábio, Cunha, Bruno Carneiro da
openaire   +2 more sources

Application of the isomonodromy deformation method to the fourth Painleve equation

open access: yes, 1996
In this paper we study the fourth Painleve equation and how the concept of isomonodromy may be used to elucidate properties of its solutions. This work is based on a Lax pair which is derived from an inverse scattering formalism for a derivative ...
Bassom, Andrew P.   +5 more
core   +1 more source

Free fermions, W-algebras and isomonodromic deformations [PDF]

open access: yes, 2016
We consider the theory of multicomponent free massless fermions in two dimensions and use it for construction of representations of W-algebras at integer Virasoro central charges. We define the vertex operators in this theory in terms of solutions of the
Marshakov, A., Gavrylenko, P.; id_orcid
core   +1 more source

Nonlinear dynamics of sand banks and sand waves [PDF]

open access: yes, 2000
Sand banks and sand waves are two types of sand structures that are commonly observed on an off-shore sea bed. We describe the formation of these features using the equations of the fluid motion coupled with the mass conservation law for the sediment ...
Newell, Alan C., Komarova, Natalia L.
core   +1 more source

Regularized limits of Stokes matrices, isomonodromy deformation and crystal basis [PDF]

open access: yes
In the first part of the paper, we solve the boundary and monodromy problems for the isomonodromy equation of the $n\times n$ meromorphic linear system of ordinary differential equations with Poncar\'{e} rank $1$.
Xu, Xiaomeng
core   +1 more source

Isomonodromy Method and Black Holes Quasinormal Modes: numerical results and extremal limit analysis

open access: yes, 2023
In this thesis, we present and apply the isomonodromy method (or isomonodromic method) to the study of quasinormal modes (QNMs), more precisely, we consider the analysis of modes that are associated with linear perturbations in two distinct four ...
Cavalcante, João Paulo
core  

Solving PVI by Isomonodromy Deformations

open access: yes, 2011
12 pages, 1 figurethis paper has ...
openaire   +2 more sources

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