Перегляд за автором "Ormerod, C.M."

Сортувати за: Порядок: Результатів:

  • Commutation Relations and Discrete Garnier Systems 
    Ormerod, C.M.; Rains, E.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We present four classes of nonlinear systems which may be considered discrete analogues of the Garnier system. These systems arise as discrete isomonodromic deformations of systems of linear difference equations in which ...
  • Construction of a Lax Pair for the E₆⁽¹⁾ q-Painlevé System 
    Witte, N.S.; Ormerod, C.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We construct a Lax pair for the E₆⁽¹⁾ q-Painlevé system from first principles by employing the general theory of semi-classical orthogonal polynomial systems characterised by divided-difference operators on discrete, ...
  • From Polygons to Ultradiscrete Painlevé Equations 
    Ormerod, C.M.; Yamada, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The rays of tropical genus one curves are constrained in a way that defines a bounded polygon. When we relax this constraint, the resulting curves do not close, giving rise to a system of spiraling polygons. The piecewise ...
  • Symmetries and Special Solutions of Reductions of the Lattice Potential KdV Equation 
    Ormerod, C.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    We identify a periodic reduction of the non-autonomous lattice potential Korteweg-de Vries equation with the additive discrete Painlevé equation with E₆⁽¹⁾ symmetry. We present a description of a set of symmetries of the ...
  • Symmetries in Connection Preserving Deformations 
    Ormerod, C.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We wish to show that the root lattice of Bäcklund transformations of the q-analogue of the third and fourth Painlevé equations, which is of type (A₂+A₁)⁽¹⁾, may be expressed as a quotient of the lattice of connection ...
  • The Lattice Structure of Connection Preserving Deformations for q-Painlevé Equations I 
    Ormerod, C.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We wish to explore a link between the Lax integrability of the q-Painlevé equations and the symmetries of the q-Painlevé equations. We shall demonstrate that the connection preserving deformations that give rise to the ...