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
In this paper we study the fourth Painleve equation and how the concept of isomonodromy may be used ...
The term ‘Lax pair’ refers to linear systems (of various types) that are related to nonlinear equati...
We present four classes of nonlinear systems which may be considered discrete analogues of the Garni...
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...
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...
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...
We identify a periodic reduction of the non-autonomous lattice potential Korteweg-de Vries equation ...
Among the recently found discretizations of the sixth Painleve ́ equation P6, only the one of Jimbo ...
In this paper we study the fourth Painleve equation and how the concept of isomonodromy may be used ...
The term ‘Lax pair’ refers to linear systems (of various types) that are related to nonlinear equati...
We present four classes of nonlinear systems which may be considered discrete analogues of the Garni...
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...
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...
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...
We identify a periodic reduction of the non-autonomous lattice potential Korteweg-de Vries equation ...
Among the recently found discretizations of the sixth Painleve ́ equation P6, only the one of Jimbo ...
In this paper we study the fourth Painleve equation and how the concept of isomonodromy may be used ...
The term ‘Lax pair’ refers to linear systems (of various types) that are related to nonlinear equati...
We present four classes of nonlinear systems which may be considered discrete analogues of the Garni...