Add to ORKGWe present a Lax pair for the sixth Painlevé equation arising as a continuous isomonodromic deformation of a system of linear difference equations with an additional symmetry structure. We call this a symmetric difference-differential Lax pair. We show how the discrete isomonodromic deformations of the associated linear problem gives us a discrete version of the fifth Painlevé equation. By considering degenerations, we obtain symmetric difference-differential Lax pairs for the fifth Painlevé equation and the various degenerate versions of the third Painlevé equation
The symmetric forms of the Painlevé equations are a sequence of nonlinear dynamical systems in N+ 1 ...
In this paper we study the fourth Painleve equation and how the concept of isomonodromy may be used ...
We identify a periodic reduction of the non-autonomous lattice potential Korteweg-de Vries equation ...
We present a Lax pair for the sixth Painlevé equation arising as a continuous isomonodromic deformat...
We present a Lax pair for the sixth Painleve equation arising as a continuous isomonodromic deformat...
We present a Lax pair for the sixth Painleve equation arising as a continuous isomonodromic deformat...
It is well known that isomonodromic deformations admit a Hamiltonian description. These Hamiltonians...
We identify the Painleve Lax pairs with those corresponding to stationary solutions of non-isospectr...
The extension of Painlevé equations to noncommutative spaces has been considering extensively in the...
The existence of Lax pairs associated to the Painlev\'e equations gives rise to a natural interpreta...
The existence of Lax pairs associated to the Painlev\'e equations gives rise to a natural interpreta...
The term ‘Lax pair’ refers to linear systems (of various types) that are related to nonlinear equati...
We present a linear system of difference equations whose entries are expressed in terms of theta fun...
We present a linear system of difference equations whose entries are expressed in terms of theta fun...
Among the recently found discretizations of the sixth Painleve ́ equation P6, only the one of Jimbo ...
The symmetric forms of the Painlevé equations are a sequence of nonlinear dynamical systems in N+ 1 ...
In this paper we study the fourth Painleve equation and how the concept of isomonodromy may be used ...
We identify a periodic reduction of the non-autonomous lattice potential Korteweg-de Vries equation ...
We present a Lax pair for the sixth Painlevé equation arising as a continuous isomonodromic deformat...
We present a Lax pair for the sixth Painleve equation arising as a continuous isomonodromic deformat...
We present a Lax pair for the sixth Painleve equation arising as a continuous isomonodromic deformat...
It is well known that isomonodromic deformations admit a Hamiltonian description. These Hamiltonians...
We identify the Painleve Lax pairs with those corresponding to stationary solutions of non-isospectr...
The extension of Painlevé equations to noncommutative spaces has been considering extensively in the...
The existence of Lax pairs associated to the Painlev\'e equations gives rise to a natural interpreta...
The existence of Lax pairs associated to the Painlev\'e equations gives rise to a natural interpreta...
The term ‘Lax pair’ refers to linear systems (of various types) that are related to nonlinear equati...
We present a linear system of difference equations whose entries are expressed in terms of theta fun...
We present a linear system of difference equations whose entries are expressed in terms of theta fun...
Among the recently found discretizations of the sixth Painleve ́ equation P6, only the one of Jimbo ...
The symmetric forms of the Painlevé equations are a sequence of nonlinear dynamical systems in N+ 1 ...
In this paper we study the fourth Painleve equation and how the concept of isomonodromy may be used ...
We identify a periodic reduction of the non-autonomous lattice potential Korteweg-de Vries equation ...