Journal of Nonlinear Mathematical Physics, Volume 10, Issue sup2 (2003)

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Journal of Nonlinear Mathematical Physics, Volume 10, Issue sup2 (2003)

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Symmetries and Integrability of Difference Equations (SIDE V)

Original Articles

Article
Comparisons Between Vector and Matrix Padé Approximants
Claude Brezinski
Pages: 1-12
Published online: 21 Jan 2013
AbstractforComparisons Between Vector and Matrix Padé Approximants | References | PDF (126.7 KB)
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Article
Hierarchies of Difference Equations and Bäcklund Transformations
Peter A Clarkson, Andrew N W Hone & Nalini Joshi
Pages: 13-26
Published online: 21 Jan 2013
AbstractforHierarchies of Difference Equations and Bäcklund Transformations | References | PDF (144.6 KB)
  • 190 Views
  • 9 CrossRef citations
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Article
A New Discrete Hénon-Heiles System
Alan K Common, Andrew N W Hone & Micheline Musette
Pages: 27-40
Published online: 21 Jan 2013
AbstractforA New Discrete Hénon-Heiles System | References | PDF (138.9 KB)
  • 187 Views
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Article
Symmetries, Lagrangian Formalism and Integration of Second Order Ordinary Difference Equations
Vladimir Dorodnitsyn, Roman Kozlov & Pavel Winternitz
Pages: 41-56
Published online: 21 Jan 2013
AbstractforSymmetries, Lagrangian Formalism and Integration of Second Order Ordinary Difference Equations | References | PDF (127 KB)
  • 288 Views
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Article
On the Transformations of the Sixth Painlevé Equation
Valery I Gromak & Galina Filipuk
Pages: 57-68
Published online: 21 Jan 2013
AbstractforOn the Transformations of the Sixth Painlevé Equation | References | PDF (143.5 KB)
  • 218 Views
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Article
Moyal Deformation of 2D Euler Equation and Discretization
Partha Guha
Pages: 69-76
Published online: 21 Jan 2013
AbstractforMoyal Deformation of 2D Euler Equation and Discretization | References | PDF (99.3 KB)
  • 164 Views
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Article
The Discrete Nonlinear Schrödinger Equation and its Lie Symmetry Reductions
R Hernández Heredero & D Levi
Pages: 77-94
Published online: 21 Jan 2013
AbstractforThe Discrete Nonlinear Schrödinger Equation and its Lie Symmetry Reductions | References | PDF (178.5 KB)
  • 176 Views
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Article
Burchnall-Chaundy Theory for q-Difference Operators and q-Deformed Heisenberg Algebras
Daniel Larsson & Sergei D Silvestrov
Pages: 95-106
Published online: 21 Jan 2013
AbstractforBurchnall-Chaundy Theory for q-Difference Operators and q-Deformed Heisenberg Algebras | References | PDF (131 KB)
  • 181 Views
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Article
On the Lax pairs of the continuous and discrete sixth Painlevé equations
Runliang Lin, Robert Conte & Micheline Musette
Pages: 107-118
Published online: 21 Jan 2013
AbstractforOn the Lax pairs of the continuous and discrete sixth Painlevé equations | References | PDF (137.4 KB)
  • 170 Views
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Article
Polynomial Growth for Birational Mappings from Four-State Spin Edge Models
J-M Maillard
Pages: 119-132
Published online: 21 Jan 2013
AbstractforPolynomial Growth for Birational Mappings from Four-State Spin Edge Models | References | PDF (165.9 KB)
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Article
On a Certain Fractional q-Difference and its Eigen Function
Atsushi Nagai
Pages: 133-142
Published online: 21 Jan 2013
AbstractforOn a Certain Fractional q-Difference and its Eigen Function | References | PDF (109 KB)
  • 102 Views
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Article
Discretization of Toroidal Soliton Equations
Yasuhiro Ohta
Pages: 143-148
Published online: 21 Jan 2013
AbstractforDiscretization of Toroidal Soliton Equations | References | PDF (84.5 KB)
  • 132 Views
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Article
The Extension of Integrable Mappings to Non-Commuting Variables
A. Ramani, T. Tamizhmani, B. Grammaticos & K.M. Tamizhmani
Pages: 149-165
Published online: 21 Jan 2013
AbstractforThe Extension of Integrable Mappings to Non-Commuting Variables | References | PDF (154.9 KB)
  • 73 Views
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Article
The Hasse-Weil Bound and Integrability Detection in Rational Maps
John A G Roberts, Danesh Jogia & Franco Vivaldi
Pages: 166-180
Published online: 21 Jan 2013
AbstractforThe Hasse-Weil Bound and Integrability Detection in Rational Maps | References | PDF (205.4 KB)
  • 88 Views
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Article
On Negatons of the Toda Lattice
Cornelia Schiebold
Pages: 181-193
Published online: 21 Jan 2013
AbstractforOn Negatons of the Toda Lattice | References | PDF (413.1 KB)
  • 71 Views
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Article
Lattice Geometry of the Discrete Darboux, KP, BKP and CKP Equations. Menelaus’ and Carnot’s Theorems
Wolfgang Karl Schief
Pages: 194-208
Published online: 21 Jan 2013
AbstractforLattice Geometry of the Discrete Darboux, KP, BKP and CKP Equations. Menelaus’ and Carnot’s Theorems | References | PDF (147.5 KB)
  • 366 Views
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Article
Discrete KP Equation and Momentum Mapping of Toda System
Vincenzo Sciacca
Pages: 209-222
Published online: 21 Jan 2013
AbstractforDiscrete KP Equation and Momentum Mapping of Toda System | References | PDF (135.3 KB)
  • 88 Views
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Article
Lax Matrices for Yang-Baxter Maps
Yuri B Suris & Alexander P Veselov
Pages: 223-230
Published online: 21 Jan 2013
AbstractforLax Matrices for Yang-Baxter Maps | References | PDF (96.1 KB)
  • 298 Views
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Article
Analysis of Non-Linear Recurrence Relations for the Recurrence Coefficients of Generalized Charlier Polynomials
Walter Van Assche & Mama Foupouagnigni
Pages: 231-237
Published online: 21 Jan 2013
AbstractforAnalysis of Non-Linear Recurrence Relations for the Recurrence Coefficients of Generalized Charlier Polynomials | References | PDF (91.2 KB)
  • 251 Views
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Article
An Integrable Coupled Toda Equation And Its Related Equation Via Hirota’s Bilinear Approach
Jun-Xiao Zhao, Chun-Xia Li & Xing-Biao Hu
Pages: 237-244
Published online: 21 Jan 2013
AbstractforAn Integrable Coupled Toda Equation And Its Related Equation Via Hirota’s Bilinear Approach | References | PDF (106.1 KB)
  • 141 Views
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