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Physica 11D (1984) 389-391 North-Holland, Amsterdam SECOND WORKSHOP ON NONLINEAR EVOLUTION EQUATIONS AND DYNAMICAL SYSTEMS THE ORTHODOX ACADEMY, KOLYMBARI NEAR CHANIA, CRETE; AUGUST 13-28,1983 A SHORT SUMMARY Francesco CALOGERO and Decio LEVI Diparfimento di Fisica, Universith di Romu “La Sapienza “, 00185 ROMA, Itu!ls; Istituto Nuzionale di Fisicu Nucleure, Sezione di Roma and Andonis VERGANELAKIS Nuclear Research Center Demokritos, Aghia Paraskevi Attikis, Athens, Greece 1. Introduction The Second Workshop took place in the same venue as the first one, and in the same spirit; we therefore refrain from repeating here the general comments made in the report on the First Workshop [see Physica 2D (1981) 5451. There were 56 participants from 14 countries. The main source of financial support for the Workshop was provided by the participants themselves (at a basic all inclusive rate of $550 per participant, $400 per accompanying adult). There were 7 guests, all from countries with nonconvertible currencies; and reduced rates for the participants from the host country. Partial financial support from the University of Crete, the Technical University of Crete, the Nuclear Research Center Demokritos in Athens and the University of Lecce are gratefully acknowl- edged. This Workshop was as successful as the first one; this has suggested the usefulness to plan a third Workshop along the same lines, to be jointly organized by Greek and Italian re- searchers and to be sponsored by their institutions. A tentative decision about the date and venue has already been made: Baia Verde, Gallipoli near Lecce (Italy), June 20-July 5, 1985. The local organizer will be Professor Marco Boiti, Dipartimento di Fisica, University of Lecce, Via Amesano, 73100 Lecce (Italy). 2. ProgTam The program is reported below as actually implemented. The contributions were generally based on two formats, either “short lectures” (20 min) or “long lectures” (40 min), with ample space allotted (and used) for discussion. A few contribu- tions were presented in the form of posters. The program printed below reports only the “officially scheduled” activities; there were of course many additional private or semiprivate scientific discussions, contacts and activities. Abstracts of talks may be found in the Nonlinear Science Abstracts in this issue. Saturday, August 13 Arrival of participants Sundae. Auqust 14 A. VERGANELAKIS, F. PAPADEROS (Orthodox tory words. J. GIBBONS: Towards the solution of Benney’s equations. 10.30-11.00 11.30-12.30 17.00-18.00 CALOGERO and A. Academy): Introduc- M. BOITI: Canonical structure of soliton equa- tions via isospectral eigenvalue problems. P. J. CAUDREY: Differential and discrete spec- tral problems and their inverse. Monduy, August 15 9.00-23.00 Excursion and participation to the festivities of the Gonias Monastery and the village of Kolymbari. Tuesday,. August 16 9.00-10.30 H. H. CHEN: Dissipative Benjamin-On0 equa- tion: stocastic motion of solitons -New symmetries of integrable nonlinear evolu- tion equations -Solutions of two dimensional sinh-Poisson equation. 11.00-12.00 N. ASANO: Semicommutative operators for nonlinear evolution equations. 0167-2789/84/$03.00 0 Elsevier Science Publishers B.V. (North-Holland Physics Publishing Division)

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Page 1: Second workshop on nonlinear evolution equations and dynamical systems the Orthodox Academy, Kolymbari near Chania, Crete; August 13–28, 1983: A short summary

Physica 11D (1984) 389-391 North-Holland, Amsterdam

SECOND WORKSHOP ON NONLINEAR EVOLUTION EQUATIONS AND DYNAMICAL SYSTEMS THE ORTHODOX ACADEMY, KOLYMBARI NEAR CHANIA, CRETE; AUGUST 13-28,1983

A SHORT SUMMARY

Francesco CALOGERO and Decio LEVI Diparfimento di Fisica, Universith di Romu “La Sapienza “, 00185 ROMA, Itu!ls; Istituto Nuzionale di Fisicu Nucleure, Sezione di

Roma

and

Andonis VERGANELAKIS Nuclear Research Center Demokritos, Aghia Paraskevi Attikis, Athens, Greece

1. Introduction

The Second Workshop took place in the same venue as the first one, and in the same spirit; we therefore refrain from repeating here the general comments made in the report on the First Workshop [see Physica 2D (1981) 5451.

There were 56 participants from 14 countries. The main source of financial support for the Workshop was provided by the participants themselves (at a basic all inclusive rate of $550 per participant, $400 per accompanying adult). There were 7 guests, all from countries with nonconvertible currencies; and reduced rates for the participants from the host country. Partial financial support from the University of Crete, the Technical University of Crete, the Nuclear Research Center Demokritos in Athens and the University of Lecce are gratefully acknowl- edged.

This Workshop was as successful as the first one; this has suggested the usefulness to plan a third Workshop along the same lines, to be jointly organized by Greek and Italian re- searchers and to be sponsored by their institutions. A tentative decision about the date and venue has already been made: Baia Verde, Gallipoli near Lecce (Italy), June 20-July 5, 1985. The local organizer will be Professor Marco Boiti, Dipartimento di Fisica, University of Lecce, Via Amesano, 73100 Lecce (Italy).

2. ProgTam

The program is reported below as actually implemented. The contributions were generally based on two formats, either “short lectures” (20 min) or “long lectures” (40 min), with ample space allotted (and used) for discussion. A few contribu- tions were presented in the form of posters. The program

printed below reports only the “officially scheduled” activities; there were of course many additional private or semiprivate scientific discussions, contacts and activities. Abstracts of talks may be found in the Nonlinear Science Abstracts in this issue.

Saturday, August 13 Arrival of participants

Sundae. Auqust 14 A. VERGANELAKIS, F. PAPADEROS (Orthodox tory words. J. GIBBONS: Towards the solution of Benney’s equations.

10.30-11.00

11.30-12.30

17.00-18.00

CALOGERO and A. Academy): Introduc-

M. BOITI: Canonical structure of soliton equa- tions via isospectral eigenvalue problems. P. J. CAUDREY: Differential and discrete spec- tral problems and their inverse.

Monduy, August 15 9.00-23.00 Excursion and participation to the festivities of

the Gonias Monastery and the village of Kolymbari.

Tuesday,. August 16 9.00-10.30 H. H. CHEN: Dissipative Benjamin-On0 equa-

tion: stocastic motion of solitons -New symmetries of integrable nonlinear evolu- tion equations -Solutions of two dimensional sinh-Poisson equation.

11.00-12.00 N. ASANO: Semicommutative operators for nonlinear evolution equations.

0167-2789/84/$03.00 0 Elsevier Science Publishers B.V. (North-Holland Physics Publishing Division)

Page 2: Second workshop on nonlinear evolution equations and dynamical systems the Orthodox Academy, Kolymbari near Chania, Crete; August 13–28, 1983: A short summary

390 F. Calogero and D. Lmr / Second workshop on nonlrnear evolution equatrons

17.00-18.00

18.30-19.30

P. L. CHRISTIANSEN: Solitons and chaos in nearly integrable systems. N. THEODORAKOPOULOS: Counting soli- tons and phonons in the Toda lattice.

Sururduy, August 20 6.30-23.00 Excursions to either Samaria gorge, or Knossos

or Faistos and Matala (3 groups).

Wednesduy , A ugust 17 9.00-10.00

10.00-10.30 11.00-12.00

17.00-18.00

18.30-19.30

20.30-21.30

M. ABLOWITZ: Solitons and the inverse scattering transform in I + 1 and 2 + 1 (and “1 + 0”) dimensions. P. M. SANTINI: Direct linearization, S. MANAKOV: Nonlocal Riemann problem and related 2 + l-dimensional nonlinear equations. T. BOUNTIS: Integrability of non-Hamiltonian systems and Painleve property. G. FOREST: Modulations of perturbed KdV wavetrains. Movie session P. L. CHRISTIANSEN: Sine-Gordon solitons. C. P6PPE: Julia sets- Pattern formation by bacteria.

Thursday, August 18 9.00-10.30

11.00-12.00

17.00-18.00

18.30-19.30

F. CALOGERO: Elementary Backlund transfor- mations and nonlinear superposition formulae for the evolution equations solvable by the Zakharov-Shabat spectral transform -Computation of Sturm-Liouville eigenvalues via Lagrangian interpolation -A solvable nonlinear wave equation. B. B. KONOPELCHENKO: On the theory of recursion operators -On the general structure of Blcklund- Calogero group and integrable equations in 1 + 1 and 2 + 1 dimensions, S. WOJCIECHOWSKI: Construction of integra- ble systems by dressing a free motion with a potential -The Backlund transformation for integrable many body systems. H. DE VEGA: The quantum inverse method and the monodromy matrix in integrable field theories.

Friduy, Augusf 19 9.00-9.30 A. RAMANI: Painlevt property and integrabil-

ity of partial differential equations. 9.30-10.00 B. DORIZZI: Painleve property and integrabil-

ity of two dimensional Hamiltonian systems. 10.00-10.30 B. GRAMMATIKOS: Painleve (and non-Pain-

leve) property for low dimensional systems. 11.00-12.00 K. MEETZ: Quantum theory of nonlinear

SchrGdinger equation with attractive coupling -Feynman path integrals and catastrophes.

17.00-18.00 F. SCHWARZ: The Riquier-Janet theory and its application to nonlinear evolution equations.

18.30-19.30 G. R. W. QUISPEL: Linear integral equations and nonlinear difference-difference equations.

Sundqv, August 21 10.00-10.30 C. CERCIGNANI: A singular inverse-scattering

approach to hyperbolic systems. 11.00-11.30 J. HIETARINTA: Quantum integrability v5

classical integrability. 11.30-12.00 N. FLYTZANIS: Envelope solitons with fast

oscillation in monoatomic and diatomic chains. 17.00-18.00 A. SYM: Soliton surfaces and their applications. 18.30-19.00 B. C. XANTHOPOULOS: A geometric notion

of complete integrability. 19.00-19.30 Posler semen

M. BRUSCHI and 0. RAGNISCO: On the inversion of the commutation operator. D. LEVI, 0. RAGNISCO and A. SYM: Backlund transformations for equations which exhibit exotic soliton solutions. L. MARTINA: Some comments on the Harry Dym equation. 0. RAGNISCO: Special families of Hamiltonian structures and integrable nonlinear evolution equations.

Monday, August 22 9.00-10.00

10.30-11.00

11.00-11.30

11.30-12.00

15.00-20.00

V. KOREPIN: Manifold of parameters of the 3-instanton solution -Lattice version of quantum field theory models in two dimensions. TIAN CHOU: Prolongation methods applied to nonlinear evolution equations. W. WESSELIUS: Quasi-periodic solutions of the boomeron equation. M. BRUSCHI: Nonlinear evolution equations associated with the chiral field spectral problem. Visit to Chania.

Tuesdu.)), August 23 9.00-10.00

10.00-10.30

11.00-12.00

17.00-19.00

A. R. OSBORNE: The spectral transform: meth- ods for the Fourier analysis of nonlinear wave data. D. LEVI: On the generation of internal solitary marine waves. R. SANTOLERI: Internal solitary waves in the Strait of Messina. L. D. FADDEV: Quantum inverse scattering method.

Wednesday, August 24 9.00-10.00 V. ALEXIADES: Binary alloy solidification.

10.00-10.30 0. RAGNISCO: Darboux and Backlund trans- formations vs dressing method.

11.00-11.30 C. P6PPE: The Fredholm determinant method for the KdV family.

Page 3: Second workshop on nonlinear evolution equations and dynamical systems the Orthodox Academy, Kolymbari near Chania, Crete; August 13–28, 1983: A short summary

F. Calogero and D. Leoi/Second workshop on nonlinear eoolution equations 391

.I. GIBBONS: A generalized Calogero-Moser system.

12.00-20.00 Trip to Marathi beach, Aghia Triada Monastery and Gouvernets Monastery.

Thursday, August 25 9.00-10.30 P. WINTERNITZ: Classification of systems of

nonlinear ordinary differential equations with su- perposition principles -Symmetry reduction for nonlinear relativisti- tally invariant equations.

ll.CK-12.00 B. XANTHOPOULOS: The solution of sta- tionary axisymmetric Einstein equations (The Ernst equations) -Interplay between linearity and nonlinearity in general relativity.

17.00-18.00 GUO BO-LING: Some nonlinear evolution equations, their numerical calculations and soli- ton solutions.

Friday, August 26 9.00-10.30 V. KOREPIN: Correlation functions in the one-

dimensional Bose gas in the repulsive case. 11.0%12.00 L. D. FADDEV: The quantum nonlinear c-

model. 17.00-18.00 M. D. KRUSKAL: Summary and concluding

remarks.

Saturday and Sunday, August 21 and 28 Departure of participants.