Nonlinearity and geometry: proceedings of first Non-orthodox school, Luigi Bianchi Days, Warsaw, 21 - 28 september, 1995 / ed. by Wojcik D. - Warsaw: PWN, 1998. - 381 p. - ISBN 83-01-12642-6  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

Оглавление / Contents

Antoni Sym Preface ...................................................... 7 Antoni Sym Luigi Bianchi ................................................ 9 J. Cieśliński and D. Wójcik Editor's Note ............................................... 11 Markus Heyerhoff The history of the early period of soliton theory ........... 13 R. Prus and A. Sym Rectilinear congruences and Bäcklund transformations: roots of the soliton theory ................................. 25 M. Nieszporski and A. Sym Weingarten congruences and non-auto-Bäcklund transformations for hyperbolic surfaces ..................... 37 Alexei Ovchinninkov Gallery of pseudospherical surfaces ......................... 41 Lyndon M. Woodward The Toda equations and the geometry of surfaces ............. 61 Jan Cieśliński The Darboux-Bianchi-Bäcklund transformation and soliton surfaces .................................................... 81 Dmitrii A. Korotkin Introduction to the functions on compact Riemann surfaces and Theta-functions ........................................ 109 Iossif S. Krasil'shchik Symmetries and recursion operators for soliton equations ... 141 Orlando Ragnisco Soliton equations and classical mechanics .................. 157 Decio Levi Equations denned on the lattice and their solutions ........ 179 Piotr P. Goldstein Painlevé test: standard gun of integrability hunter ........ 207 Heinz Steudel Second-order resonant systems in optics and surfaces in R3 ......................................................... 221 Reinhard Meinel Panorama of soliton applications - Physics of solitons ..... 225 Adam Doliwa Minimal surfaces, holomorphic curves and Toda systems ...... 227 Maciej Dunajski Self-dual metrics from soliton equations ................... 237 Ulrich Eitner Schlesinger transformations for Bonnet surfaces ............ 245 Helen L. Fawley Geometry of surfaces in S4 ................................. 257 Hubert Gollek Deformations of minimal curves in C3 ....................... 269 Andrew N.W. Hone Nonautonomous Hénon-Heiles systems ......................... 287 Włodzimierz Jelonek Solitons and projectively flat affine surfaces ............. 297 Karima R. Khusnutdinova Exact solutions describing interaction of solitary waves of non-integrable equations ................................ 319 Huili Liu Equi-centroaffinely homogeneous surfaces with vanishing Pick invariant in R4 ....................................... 335 Piotr Bogusław Mucha Isothermic surfaces of k-th order .......................... 341 Alexei Ovchinninkov Toda systems and W-algebras ................................ 349 Ron Perline The role of elastica in geometry ........................... 359 O.E. Hentosh, Y.A. Prykarpatsky, D.L. Blackmore On the geometric structure of integrable flows in Grassman manifolds ......................................... 365 Heinz Steudel Solitons in nonlinear optics ............................... 373 Changping Wang Affine differential geometry and soliton equations ......... 377 Program of the Conference .................................. 383