Journal of Nonlinear Mathematical Physics, Volume 12, Issue sup2 (2005)

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Journal of Nonlinear Mathematical Physics, Volume 12, Issue sup2 (2005)

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Symmetries and Integrability of Difference Equations SIDE VI

Original Articles

Article
Asymptotic behavior of discrete holomorphic maps zc and log(z)
Sergey I Agafonov
Pages: 1-14
Published online: 21 Jan 2013
AbstractforAsymptotic behavior of discrete holomorphic maps zc and log(z) | References | PDF (229.5 KB)
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Article
A novel approach to the theory of Padé approximants
Christopher Athorne
Pages: 15-27
Published online: 21 Jan 2013
AbstractforA novel approach to the theory of Padé approximants | References | PDF (138.7 KB)
  • 95 Views
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Article
Integrable 1D Toda cellular automata
Mariusz Białecki
Pages: 28-35
Published online: 21 Jan 2013
AbstractforIntegrable 1D Toda cellular automata | References | PDF (154.1 KB)
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Article
Second Order Dynamic Inclusions
Martin Bohner & Christopher C Tisdell
Pages: 36-45
Published online: 21 Jan 2013
AbstractforSecond Order Dynamic Inclusions | References | PDF (125.3 KB)
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Article
Bilinear recurrences and addition formulae for hyperelliptic sigma functions
Harry W Braden, Victor Z Enolskii & Andrew N W Hone
Pages: 46-62
Published online: 21 Jan 2013
AbstractforBilinear recurrences and addition formulae for hyperelliptic sigma functions | References | PDF (176.5 KB)
  • 216 Views
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Article
Orthogonal matrix polynomials satisfying first order differential equations: a collection of instructive examples
Mirta M Castro & F Alberto Grünbaum
Pages: 63-76
Published online: 21 Jan 2013
AbstractforOrthogonal matrix polynomials satisfying first order differential equations: a collection of instructive examples | References | PDF (129.8 KB)
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Article
Integrable flows and Bäcklund transformations on extended Stiefel varieties with application to the Euler top on the Lie group SO(3)
Yuri N Fedorov
Pages: 77-94
Published online: 21 Jan 2013
AbstractforIntegrable flows and Bäcklund transformations on extended Stiefel varieties with application to the Euler top on the Lie group SO(3) | References | PDF (210.2 KB)
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Article
Bispectrality for deformed Calogero–Moser–Sutherland systems
Misha Feigin
Pages: 95-136
Published online: 21 Jan 2013
AbstractforBispectrality for deformed Calogero–Moser–Sutherland systems | References | PDF (347 KB)
  • 179 Views
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Article
Asymptotic symmetries of difference equations on a lattice
Giuseppe Gaeta, Decio Levi & Rosaria Mancinelli
Pages: 137-146
Published online: 21 Jan 2013
AbstractforAsymptotic symmetries of difference equations on a lattice | References | PDF (117.6 KB)
  • 76 Views
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Article
Pfaffianization of the q-difference version of the two-dimensional Toda lattice equation
Gegenhasi, Xing-Biao Hu & Hon-Wah Tam
Pages: 147-152
Published online: 21 Jan 2013
AbstractforPfaffianization of the q-difference version of the two-dimensional Toda lattice equation | References | PDF (89 KB)
  • 75 Views
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Article
On Reductions and Real Hamiltonian Forms of Affine Toda Field Theories
Vladimir S Gerdjikov & Georgi G Grahovski
Pages: 153-168
Published online: 21 Jan 2013
AbstractforOn Reductions and Real Hamiltonian Forms of Affine Toda Field Theories | References | PDF (189.4 KB)
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Article
The Relation between a 2D Lotka-Volterra equation and a 2D Toda Lattice
Claire R Gilson & Jonathan J C Nimmo
Pages: 169-179
Published online: 21 Jan 2013
AbstractforThe Relation between a 2D Lotka-Volterra equation and a 2D Toda Lattice | References | PDF (119.3 KB)
  • 166 Views
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Article
Non-isospectral lattice hierarchies in 2+1 dimensions and generalized discrete Painlevé hierarchies
P R Gordoa, A Pickering & Z N Zhu
Pages: 180-196
Published online: 21 Jan 2013
AbstractforNon-isospectral lattice hierarchies in 2+1 dimensions and generalized discrete Painlevé hierarchies | References | PDF (157.3 KB)
  • 102 Views
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Article
Finite reductions of the two dimensional Toda chain
E V Gudkova
Pages: 197-205
Published online: 21 Jan 2013
AbstractforFinite reductions of the two dimensional Toda chain | References | PDF (100.6 KB)
  • 123 Views
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Article
A factorization for ℤ × ℤ-matrices yielding solutions of Toda-type hierarchies
Gerardus Franciscus Helminck
Pages: 206-222
Published online: 21 Jan 2013
AbstractforA factorization for ℤ × ℤ-matrices yielding solutions of Toda-type hierarchies | References | PDF (177.2 KB)
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Article
Searching for CAC-maps
Jarmo Hietarinta
Pages: 223-230
Published online: 21 Jan 2013
AbstractforSearching for CAC-maps | References | PDF (105.1 KB)
  • 139 Views
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Article
Darboux transformations for q-discretizations of 2D second order differential equations
P Małkiewicz & M Nieszporski
Pages: 231-239
Published online: 21 Jan 2013
AbstractforDarboux transformations for q-discretizations of 2D second order differential equations | References | PDF (159.9 KB)
  • 77 Views
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Article
Bäcklund transformations for the rational Lagrange chain
Fabio Musso, Matteo Petrera, Orlando Ragnisco & Giovanni Satta
Pages: 240-252
Published online: 21 Jan 2013
AbstractforBäcklund transformations for the rational Lagrange chain | References | PDF (145.1 KB)
  • 130 Views
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Article
A unitary joint eigenfunction transform for the AΔOs exp(ia±d/dz)+exp(2πz/a∓)
S N M Ruijsenaars
Pages: 253-294
Published online: 21 Jan 2013
AbstractforA unitary joint eigenfunction transform for the AΔOs exp(ia±d/dz)+exp(2πz/a∓) | References | PDF (323.3 KB)
  • 142 Views
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Article
Twisted Volterra equation
Sergei D Silvestrov
Pages: 295-299
Published online: 21 Jan 2013
AbstractforTwisted Volterra equation | References | PDF (82.8 KB)
  • 64 Views
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Article
A fuzzy difference equation of a rational form
G Stefanidou & G Papaschinopoulos
Pages: 300-315
Published online: 21 Jan 2013
AbstractforA fuzzy difference equation of a rational form | References | PDF (149.3 KB)
  • 258 Views
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Article
On a special two-dimensional lattice by Blaszak and Szum: pfaffianization and molecule solutions
Guo-Fu Yu, Chun-Xia Li, Jun-Xiao Zhao & Xing-Biao Hu
Pages: 316-332
Published online: 21 Jan 2013
AbstractforOn a special two-dimensional lattice by Blaszak and Szum: pfaffianization and molecule solutions | References | PDF (159.2 KB)
  • 151 Views
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Article
Regular algebras of dimension 2, the generalized eigenvalue problem and Padé interpolation
Alexei Zhedanov
Pages: 333-356
Published online: 21 Jan 2013
AbstractforRegular algebras of dimension 2, the generalized eigenvalue problem and Padé interpolation | References | PDF (190.1 KB)
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