Journal of Nonlinear Mathematical Physics, Volume 12, Issue sup1 (2005)

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Journal of Nonlinear Mathematical Physics, Volume 12, Issue sup1 (2005)

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Special Issue in Honour of Francesco Calogero on the Occasion of His 70th Birthday

Original Articles

Article
On a “Quasi” Integrable Discrete Eckhaus Equation
M J Ablowitz, C D Ahrens & S De Lillo
Pages: 1-12
Published online: 21 Jan 2013
AbstractforOn a “Quasi” Integrable Discrete Eckhaus Equation | References | PDF (681.1 KB)
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Article
Some Symmetry Classifications of Hyperbolic Vector Evolution Equations
Stephen C Anco & Thomas Wolf
Pages: 13-31
Published online: 21 Jan 2013
AbstractforSome Symmetry Classifications of Hyperbolic Vector Evolution Equations | References | PDF (197.4 KB)
  • 203 Views
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Article
Some Group Theoretical Aspects of Nonlinear Quantal Oscillators
K Andriopoulos & P G L Leach
Pages: 32-42
Published online: 21 Jan 2013
AbstractforSome Group Theoretical Aspects of Nonlinear Quantal Oscillators | References | PDF (125.3 KB)
  • 147 Views
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Article
Singular Scattering Matrices
David Atkinson
Pages: 43-49
Published online: 21 Jan 2013
AbstractforSingular Scattering Matrices | References | PDF (95.6 KB)
  • 131 Views
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Article
Tunnelling in Nonlocal Evolution Equations
Giovanni Bellettini, Anna De Masi & Errico Presutti
Pages: 50-63
Published online: 21 Jan 2013
AbstractforTunnelling in Nonlocal Evolution Equations | References | PDF (160.1 KB)
  • 138 Views
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Article
On Dispersionless BKP Hierarchy and its Reductions
L V Bogdanov & B G Konopelchenko
Pages: 64-73
Published online: 21 Jan 2013
AbstractforOn Dispersionless BKP Hierarchy and its Reductions | References | PDF (116.2 KB)
  • 144 Views
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Article
Functional Equations and the Generalised Elliptic Genus
H W Braden & K E Feldman
Pages: 74-85
Published online: 21 Jan 2013
AbstractforFunctional Equations and the Generalised Elliptic Genus | References | PDF (139.5 KB)
  • 105 Views
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Article
Lower Bounds for the Spinless Salpeter Equation
Fabian Brau
Pages: 86-96
Published online: 21 Jan 2013
AbstractforLower Bounds for the Spinless Salpeter Equation | References | PDF (137.7 KB)
  • 173 Views
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Article
New Solvable Nonlinear Matrix Evolution Equations
M Bruschi
Pages: 97-105
Published online: 21 Jan 2013
AbstractforNew Solvable Nonlinear Matrix Evolution Equations | References | PDF (86.6 KB)
  • 91 Views
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Article
Hyperelliptic Addition Law
Victor Buchstaber & Dmitry Leykin
Pages: 106-123
Published online: 21 Jan 2013
AbstractforHyperelliptic Addition Law | References | PDF (206.6 KB)
  • 198 Views
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Article
Goat cheese for breakfast in Istanbul or Why are certain nonlinear PDEs both widely applicable and integrable? Reminiscences of Francesco Calogero
Robin Bullough
Pages: 124-137
Published online: 21 Jan 2013
AbstractforGoat cheese for breakfast in Istanbul or Why are certain nonlinear PDEs both widely applicable and integrable? Reminiscences of Francesco Calogero | References | PDF (135.5 KB)
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Article
On a Class of Non Self-Adjoint Quantum Nonlinear Oscillators with Real Spectrum
Emanuela Caliceti & Sandro Graffi
Pages: 138-145
Published online: 21 Jan 2013
AbstractforOn a Class of Non Self-Adjoint Quantum Nonlinear Oscillators with Real Spectrum | References | PDF (113.2 KB)
  • 143 Views
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Article
On a Completely Integrable Numerical Scheme for a Nonlinear Shallow-Water Wave Equation
Roberto Camassa, Jingfang Huang & Long Lee
Pages: 146-162
Published online: 21 Jan 2013
AbstractforOn a Completely Integrable Numerical Scheme for a Nonlinear Shallow-Water Wave Equation | References | PDF (249.3 KB)
  • 251 Views
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Article
Some Remarks on Materials with Memory: Heat Conduction and Viscoelasticity
Sandra Carillo
Pages: 163-178
Published online: 21 Jan 2013
AbstractforSome Remarks on Materials with Memory: Heat Conduction and Viscoelasticity | References | PDF (191.4 KB)
  • 314 Views
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Article
A Remark on Rational Isochronous Potentials
Oleg A Chalykh & Alexander P Veselov
Pages: 179-183
Published online: 21 Jan 2013
AbstractforA Remark on Rational Isochronous Potentials | References | PDF (82.8 KB)
  • 171 Views
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Article
Extended Prelle-Singer Method and Integrability/Solvability of a Class of Nonlinear nth Order Ordinary Differential Equations
V K Chandrasekar, M Senthilvelan & M Lakshmanan
Pages: 184-201
Published online: 21 Jan 2013
AbstractforExtended Prelle-Singer Method and Integrability/Solvability of a Class of Nonlinear nth Order Ordinary Differential Equations | References | PDF (162.5 KB)
  • 191 Views
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Article
A Hamiltonian Formulation for Free Surface Water Waves with Non-Vanishing Vorticity
Adrian Constantin
Pages: 202-211
Published online: 21 Jan 2013
AbstractforA Hamiltonian Formulation for Free Surface Water Waves with Non-Vanishing Vorticity | References | PDF (100.7 KB)
  • 309 Views
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Article
Explicit integration of the Hénon-Heiles Hamiltonians
Robert Conte, Micheline Musette & Caroline Verhoeven
Pages: 212-227
Published online: 21 Jan 2013
AbstractforExplicit integration of the Hénon-Heiles Hamiltonians | References | PDF (158.6 KB)
  • 336 Views
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Article
Integrable and Nonintegrable Initial Boundary Value Problems for Soliton Equations
A Degasperis, S V Manakov & P M Santini
Pages: 228-243
Published online: 21 Jan 2013
AbstractforIntegrable and Nonintegrable Initial Boundary Value Problems for Soliton Equations | References | PDF (162.7 KB)
  • 157 Views
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Article
On τ-Function of Conjugate Nets
Adam Doliwa
Pages: 244-252
Published online: 21 Jan 2013
AbstractforOn τ-Function of Conjugate Nets | References | PDF (111.2 KB)
  • 139 Views
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Article
A Haldane–Shastry Spin Chain of BCN Type in a Constant Magnetic Field
A Enciso, F Finkel, A González-López & M A Rodríguez
Pages: 253-265
Published online: 21 Jan 2013
AbstractforA Haldane–Shastry Spin Chain of BCN Type in a Constant Magnetic Field | References | PDF (150 KB)
  • 83 Views
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Article
Singular Manifold Method for an Equation in 2+1 Dimensions
P G Estévez & J Prada
Pages: 266-279
Published online: 21 Jan 2013
AbstractforSingular Manifold Method for an Equation in 2+1 Dimensions | References | PDF (118.8 KB)
  • 188 Views
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Article
Irreducible Characters and Clebsch-Gordan Series for the Exceptional Algebra E6: An Approach through the Quantum Calogero-Sutherland Model
J Fernández-Núñez, W Garcia-Fuertes & A M Perelomov
Pages: 280-301
Published online: 21 Jan 2013
AbstractforIrreducible Characters and Clebsch-Gordan Series for the Exceptional Algebra E6: An Approach through the Quantum Calogero-Sutherland Model | References | PDF (222.6 KB)
  • 147 Views
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Article
The Time Periodic Solution of the Burgers Equation on the Half-Line and an Application to Steady Streaming
A S Fokas & J T Stuart
Pages: 302-314
Published online: 21 Jan 2013
AbstractforThe Time Periodic Solution of the Burgers Equation on the Half-Line and an Application to Steady Streaming | References | PDF (134.9 KB)
  • 201 Views
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Article
Isochronous Systems and Perturbation Theory
J-P Francoise
Pages: 315-326
Published online: 21 Jan 2013
AbstractforIsochronous Systems and Perturbation Theory | References | PDF (113.2 KB)
  • 161 Views
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Article
Dimension Increase and Splitting for Poincaré-Dulac Normal Forms
Giuseppe Gaeta & Sebastian Walcher
Pages: 327-342
Published online: 21 Jan 2013
AbstractforDimension Increase and Splitting for Poincaré-Dulac Normal Forms | References | PDF (162.6 KB)
  • 219 Views
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Article
Factorization of the Loop Algebras and Compatible Lie Brackets
I Z Golubchik & V V Sokolov
Pages: 343-350
Published online: 21 Jan 2013
AbstractforFactorization of the Loop Algebras and Compatible Lie Brackets | References | PDF (95.8 KB)
  • 137 Views
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Article
Periods of the Goldfish Many-Body Problem
David Gomez-Ullate & Matteo Sommacal
Pages: 351-362
Published online: 21 Jan 2013
AbstractforPeriods of the Goldfish Many-Body Problem | References | PDF (332.2 KB)
  • 172 Views
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Article
Reductions of Integrable Lattices
B Grammaticos, A Ramani, J Satsuma, R Willox & A S Carstea
Pages: 363-371
Published online: 21 Jan 2013
AbstractforReductions of Integrable Lattices | References | PDF (99 KB)
  • 229 Views
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Article
Link Invariants and Lie Superalgebras
P Grozman & D Leites
Pages: 372-379
Published online: 21 Jan 2013
AbstractforLink Invariants and Lie Superalgebras | References | PDF (112.8 KB)
  • 116 Views
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Article
A Class of Equations with Peakon and Pulson Solutions (with an Appendix by Harry Braden and John Byatt-Smith)
Darryl D Holm & N W Hone
Pages: 380-394
Published online: 21 Jan 2013
AbstractforA Class of Equations with Peakon and Pulson Solutions (with an Appendix by Harry Braden and John Byatt-Smith) | References | PDF (703.6 KB)
  • 232 Views
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Article
The Eigenvectors of the Heisenberg Hamiltonian with Elliptic Form of the Exchange Spin Interaction
V I Inozemtsev
Pages: 395-403
Published online: 21 Jan 2013
AbstractforThe Eigenvectors of the Heisenberg Hamiltonian with Elliptic Form of the Exchange Spin Interaction | References | PDF (122.9 KB)
  • 345 Views
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Article
Canonically Transformed Detectors Applied to the Classical Inverse Scattering Problem
C Jung, T H Seligman & J M Torres
Pages: 404-411
Published online: 21 Jan 2013
AbstractforCanonically Transformed Detectors Applied to the Classical Inverse Scattering Problem | References | PDF (1.9 MB)
  • 76 Views
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Article
Reflection Symmetries of q-Bernoulli Polynomials
Boris A Kupershmidt
Pages: 412-422
Published online: 21 Jan 2013
AbstractforReflection Symmetries of q-Bernoulli Polynomials | References | PDF (106 KB)
  • 213 Views
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Article
Gauge Theory Approach Towards an Explicit Solution of the (Classical) Elliptic Calogero-Moser System
Edwin Langmann
Pages: 423-439
Published online: 21 Jan 2013
AbstractforGauge Theory Approach Towards an Explicit Solution of the (Classical) Elliptic Calogero-Moser System | References | PDF (187.3 KB)
  • 203 Views
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Article
Multiscale Analysis of Discrete Nonlinear Evolution Equations: The Reduction of the dNLS
Decio Levi & Rafael Hernández Heredero
Pages: 440-448
Published online: 21 Jan 2013
AbstractforMultiscale Analysis of Discrete Nonlinear Evolution Equations: The Reduction of the dNLS | References | PDF (108.3 KB)
  • 85 Views
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Article
Rigorous Results in the Scaling Theory of Irreversible Aggregation Kinetics
François Leyvraz
Pages: 449-465
Published online: 21 Jan 2013
AbstractforRigorous Results in the Scaling Theory of Irreversible Aggregation Kinetics | References | PDF (171.7 KB)
  • 168 Views
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Article
Some Water Wave Equations and Integrability
Yishen Li
Pages: 466-481
Published online: 21 Jan 2013
AbstractforSome Water Wave Equations and Integrability | References | PDF (147.7 KB)
  • 203 Views
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Article
Algebraic Extensions of Gaudin Models
Fabio Musso, Matteo Petrera & Orlando Ragnisco
Pages: 482-498
Published online: 21 Jan 2013
AbstractforAlgebraic Extensions of Gaudin Models | References | PDF (169.6 KB)
  • 120 Views
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Article
Jacobi’s Three-Body System Moves like a Free Particle
M C Nucci
Pages: 499-506
Published online: 21 Jan 2013
AbstractforJacobi’s Three-Body System Moves like a Free Particle | References | PDF (103.6 KB)
  • 87 Views
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Article
Shape Invariant Potentials in “Discrete Quantum Mechanics”
Satoru Odake & Ryu Sasaki
Pages: 507-521
Published online: 21 Jan 2013
AbstractforShape Invariant Potentials in “Discrete Quantum Mechanics” | References | PDF (177.5 KB)
  • 181 Views
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Article
Universality of Calogero-Moser Model
M A Olshanetsky
Pages: 522-534
Published online: 21 Jan 2013
AbstractforUniversality of Calogero-Moser Model | References | PDF (151 KB)
  • 160 Views
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Article
What an Effective Criterion of Separability says about the Calogero Type Systems
Stefan Rauch-Wojciechowski & Claes Waksjö
Pages: 535-547
Published online: 21 Jan 2013
AbstractforWhat an Effective Criterion of Separability says about the Calogero Type Systems | References | PDF (136.5 KB)
  • 195 Views
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Article
Vortex Trains in Super-Alfvénic Magnetogasdynamics. Application of Reciprocal-Bäcklund Transformations
C Rogers & W K Schief
Pages: 548-564
Published online: 21 Jan 2013
AbstractforVortex Trains in Super-Alfvénic Magnetogasdynamics. Application of Reciprocal-Bäcklund Transformations | References | PDF (917.1 KB)
  • 173 Views
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Article
Isometric Reflectionless Eigenfunction Transforms for Higher-order AΔOs
S N M Ruijsenaars
Pages: 565-598
Published online: 21 Jan 2013
AbstractforIsometric Reflectionless Eigenfunction Transforms for Higher-order AΔOs | References | PDF (268.9 KB)
  • 88 Views
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Article
Generalised Inverse Scattering for a Linear PDE Associate to KdV
P C Sabatier
Pages: 599-613
Published online: 21 Jan 2013
AbstractforGeneralised Inverse Scattering for a Linear PDE Associate to KdV | References | PDF (172.9 KB)
  • 74 Views
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Article
Universal Solitonic Hierarchy
Alexei Shabat
Pages: 614-624
Published online: 21 Jan 2013
AbstractforUniversal Solitonic Hierarchy | References | PDF (121.7 KB)
  • 105 Views
  • 11 CrossRef citations
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Article
RG Solutions for αs at large Nc in d=3+1 QCD
Yu A Simonov
Pages: 625-632
Published online: 21 Jan 2013
AbstractforRG Solutions for αs at large Nc in d=3+1 QCD | References | PDF (112 KB)
  • 124 Views
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Article
Time Discretization of F. Calogero’s “Goldfish” System
Yuri B Suris
Pages: 633-647
Published online: 21 Jan 2013
AbstractforTime Discretization of F. Calogero’s “Goldfish” System | References | PDF (136.9 KB)
  • 188 Views
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Article
Solitons of Wave Equation
Antoni Sym
Pages: 648-659
Published online: 21 Jan 2013
AbstractforSolitons of Wave Equation | References | PDF (133.5 KB)
  • 190 Views
  • 3 CrossRef citations
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Article
Quasi-Exactly Solvable Hamiltonians related to Root Spaces
Alexander V Turbiner
Pages: 660-675
Published online: 21 Jan 2013
AbstractforQuasi-Exactly Solvable Hamiltonians related to Root Spaces | References | PDF (171.1 KB)
  • 232 Views
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Article
Correlation Function of Asymmetric Simple Exclusion Process with Open Boundaries
Masaru Uchiyama & Miki Wadati
Pages: 676-688
Published online: 21 Jan 2013
AbstractforCorrelation Function of Asymmetric Simple Exclusion Process with Open Boundaries | References | PDF (153.1 KB)
  • 211 Views
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Article
On the Equilibrium Configuration of the BC-type Ruijsenaars-Schneider System
Jan F Van Diejen
Pages: 689-696
Published online: 21 Jan 2013
AbstractforOn the Equilibrium Configuration of the BC-type Ruijsenaars-Schneider System | References | PDF (104.4 KB)
  • 161 Views
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