Topological methods in the theory of integrable systems [Book] / A.V. Bolsinov, A.T. Fomenko, A.A. Oshemkov.

Includes bibliographical references and index.

The third international conference of AMADE was held in Minsk, Belarus in September 2003 and covered key topics including integral transforms and special functions; differential equations and their applications; integral, difference, functional equations and fractional calculus; real and complex analysis. This volume comprises selected papers presented at this conference and provides a useful reference for graduates and researchers working in these areas of mathematics. The volume includes original papers devoted to the classification of singularities with symmetries, semi-classical integrability, construction of "exotic" integrable systems, applications of integrability to Riemannian geometry, and analysis of specific integrable systems in classical mechanics. All of the contributing authors are well-known specialists actively working in this area of mathematics.