Journal of

Nonlinear Mathematical Physics


Online Access: Volume 12 Supplement 1, January 2005



Special Issue in Honour of Francesco Calogero

on the Occasion of His 70th Birthday



Edited by

Norbert Euler



ISBN: 91-974824-3-9
ISSN: 1402-9251



Foreword : PostScript or pdf

Francesco, a First Class Scientist and a Committed Intellectual
by P M Santini: PostScript or pdf


Contributions

(Alphabetically)


1. M J ABLOWITZ, C D AHRENS and S DE LILLO Postscript or pdf
On a "Quasi" Integrable Discrete Eckhaus Equation
(pages 1-12)


2. S C ANCO and T WOLF Postscript or pdf
Some Symmetry Classifications of Hyperbolic Vector Evolution Equations
(pages 13-31)


3. K ANDRIOPOULOS and P G L LEACH Postscript or pdf
Some Group Theoretical Aspects of Nonlinear Quantal Oscillators
 (pages 32-42)


4. D ATKINSON Postscript or pdf
Singular Scattering Matrices (pages 43-49)



5. G BELLETTINI, A D E MASI and E PRESUTTI Postscript or pdf
Tunnelling in Nonlocal Evolution Equations
(pages 50-63)


6. L V BOGDANOV and B G KONOPELCHENKO Postscript or pdf
On Dispersionless BKP Hierarchy and its Reductions
(pages 64-73)


7. H W BRADEN and K E FELDMAN Postscript or pdf
Functional Equations and the Generalised Elliptic Genus
(pages 74-85)


8. F BRAU Postscript or pdf
Lower Bounds for the Spinless Salpeter Equation
(pages 86-96)


9. M BRUSCHI Postscript or pdf
New Solvable Nonlinear Matrix Evolution Equations
(pages 97-105)


10. V BUCHSTABER and D LEYKIN Postscript or pdf
Hyperelliptic Addition Law
(pages 106-123)


11. R BULLOUGH Postscript or pdf
Goat cheese for breakfast in Istanbul or Why are certain nonlinear PDEs both widely applicable and integrable? Reminiscences of Francesco Calogero
(pages 124-137)


12. E CALICETI and S GRAFFI Postscript or pdf
On a Class of Nonself-Adjoint Quantum Nonlinear Oscillators with Real Spectrum
(pages 138-145)


13. R CAMASSA, J HUANK and L LEE Postscript or pdf
On a Completely Integrable Numerical Scheme for a Nonlinear Shallow-Water Wave Equation
(pages 146-162)


14. S CARILLO Postscript or pdf
Some Remarks on Materials with Memory: Heat Conduction and Viscoelasticity
(pages 163-178)


15. O A CHALYKH and A P VESELOV Postscript or pdf
A Remark on Rational Isochronous Potentials
(pages 179-183)


16. V K CHANDRASEKAR, M SENTHILVELAN and M LAKSHMANAN Postscript or pdf
Extended Prelle-Singer Method and Integrability/Solvability of a Class of Nonlinear n-th Order Ordinary Differential Equations
(pages 184-201)


17. A CONSTANTIN Postscript or pdf
A Hamiltonian Formulation for Free Surface Water Waves with Non-vanishing Vorticity
(pages 202-211)


18. R CONTE, M MUSETTE and C VERHOEVEN Postscript or pdf
Explicit integration of the Hénon-Heiles Hamiltonians
(pages 212-227)


19. A DEGASPERIS, S V MANAKOV and P M SANTINI Postscript or pdf
Integrable and Nonintegrable Initial Boundary Value Problems for Soliton Equations
(pages 228-243)


20. A DOLIWA Postscript or pdf
On tau-Function of Conjugate Net
(pages 244-252)


21. A ENCISO, F FINKEL, A GONZÁLEZ-LÓPEZ and M A RODRIGUEZ Postscript or pdf
A Haldane-Shastry Spin Chain of BCN type in a Constant Magnetic Field
(pages 253-265)


22. P G ESTÉVEZ and J PRADA Postscript or pdf
Singular Manifold Method for an Equation in 2+1 Dimensions
(pages 266-279)


23. J FERNÁNDEZ-NÚÑEZ, W GARCIA-FUERTES and A M PERELOMOV Postscript or pdf
Irreducible Characters and Clebsch-Gordan Series for the Exceptional Algebra E6: An Approach through the Quantum Calogero-Sutherland Model
(pages 280-301)


24. A S FOKAS and J T STUART Postscript or pdf
The Time Periodic Solution of the Burgers Equation on the Half-Line and an Application to Steady Streaming
(pages 302-314)


25. J-P FRANÇOISE Postscript or pdf
Isochronous Systems and Perturbation Theory
(pages 315-326)


26. G GAETA and S WALCHER Postscript or pdf
Dimension Increase and Splitting for Poincaré-Dulac Normal Forms
(pages 327-342)


27. I Z GOLUBCHIK and V V SOKOLOV Postscript or pdf
Factorization of the Loop Algebras and Compatible Lie Brackets
(pages 343-350)


28. D GOMEZ-ULLATE and M SOMMACAL Postscript or pdf
Periods of the Goldfish Many-Body Problem
(pages 351-362)


29. B GRAMMATICOS, A RAMANI, J SATSUMA, R WILLOX and A S CARSTEA Postscript or pdf
Reductions of Integrable Lattices
(pages 363-371)


30. P GROZMAN and D LEITES Postscript or pdf
Link Invariants and Lie Superalgebras
(pages 372-379)


31. D D HOLM and A N W HONE Postscript or pdf
A class of Equations with Peakon and Pulson Solutions
(pages 380-394)


32. V I INOZEMTSEV Postscript or pdf
The Eigenvectors of the Heisenberg Hamiltonian with Elliptic Form of the Exchange Spin Interaction
(pages 395-403)


33. C JUNG, T H SELIGMAN and J M TORRES Postscript or pdf
Canonically Transformed Detectors Applied to the Classical Inverse Scattering Problem
(pages 404-411)


34. B A KUPERSHMIDT Postscript or pdf
Reflection Symmetries of q-Bernoulli Polynomials
(pages 412-422)


35. E LANGMANN Postscript or pdf
Gauge Theory Approach Towards an Explicit Solution of the (Classical) Elliptic Calogero-Moser System
(pages 423-439)


36. D LEVI and R HERNÁNDEZ HEREDERO Postscript or pdf
Multiscale Analysis of Discrete Nonlinear Evolution Equations: The Reduction of the dNLS
(pages 440-448)


37. F LEYVRAZ Postscript or pdf
Rigorous Results in the Scaling Theory of Irreversible Aggregation Kinetics
(pages 449-465)


38. Y LI Postscript or pdf
Some Water Wave Equations and Integrability
(pages 466-481)


39. F MUSSO, M PETRERA and O RAGNISCO Postscript or pdf
Algebraic Extensions of Gaudin Models
(pages 482-498)


40. M C NUCCI Postscript or pdf
Jacobi's Three-Body System Moves like a Free Particle
(pages 499-506)


41. S ODAKE and R SASAKI Postscript or pdf
Shape Invariant Potentials in "Discrete Quantum Mechanics"
(pages 507-521)


42. M OLSHANETSKY Postscript or pdf
Universality of Calogero-Moser Model
(pages 522-534)


43. S RAUCH-WOJCIECHOWSKI and C WAKSJÖ Postscript or pdf
What an Effective Criterion of Separability says about the Calogero Type Systems
(pages 535-547)


44. C ROGERS and W K SCHIEF Postscript or pdf
Vortex Trains in Super-Alfvénic Magnetogasdynamics. Application of Reciprocal-Bäcklund Transformations
(pages 548-564)


45. S N M RUIJSENAARS Postscript or pdf
Isometric Reflectionless Eigenfunction Transforms for Higher-order A Delta Os
(pages 565-598)


46. P C SABATIER Postscript or pdf
Generalised Inverse Scattering for a Linear PDE Associated to KdV
(pages 599-613)


47. A SHABAT Postscript or pdf
Universal Solitonic Hierarchy
(pages 614-624)


48. Yu A SIMONOV Postscript or pdf
RG solutions for \alpha_s at large Nc in d=3+1 QCD
(pages 625-632)


49. Yu B SURIS Postscript or pdf
Time Discretization of the F. Calogero's "Goldfish" System
(pages 633-647)


50. A SYM Postscript or pdf
Solitons of Wave Equations
(pages 648-659)


51. A V TURBINER Postscript or pdf
Quasi-Exactly Solvable Hamiltonians Related to Root Spaces
(pages 660-675)


52. M UCHIYAMA and M WADATI Postscript or pdf
Correlation Function of Asymmetric Simple Exclusion Process with Open Boundaries
(pages 676-688)


53. J F VAN DIEJEN Postscript or pdf
On the Equilibrium Configuration of the BC-type Ruijsenaars-Schneider System
(pages 689-696)





PRICE for the printed version of Supplement 1 Volume 12 (hardback):
EURO 90,00 (Plus Postage)

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Norbert Euler
Journal of Nonlinear Mathematical Physics
Department of Mathematics
Luleå University of Technology
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E-mail: norbert@sm.luth.se
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