Proceedings of the 4th International Conference on Symmetry in Nonlinear Mathematical Physics

National Pedagogical University. It continues the series of the the scientific

meetings started in 1995 due to efforts of Professor Wilhelm Fushchych.

The specific feature of the conference held in Kyiv, July 9–15, 2001 was

that it was a part of the Ukrainian Mathematical Congress devoted to

200 Anniversary of the great Ukrainian mathematician Mykhailo Ostrohrads’kyi.

The conference generated significant interest of mathematicians and physicists. More than 120 participants from 26 countries presented their talks

the majority of which is included in these Proceedings. The Proceedings

contain also papers whose authors were unable to come to conference but

submitted their papers.

The Proceedings are published in two parts and contain 109 papers. The

titles of conference talks not presented for publication at the Proceedings

are given in the end of part 2.

A number of papers included into Proceedings is devoted to traditional

subjects of Lie theory, i.e., analysis of symmetries of nonlinear partial differential equations, symmetry reduction and construction of exact solutions.

In these papers which are collected in the first part both classical Lie

methods and modern trends in symmetry analysis are represented. The

first part contains also papers related to the inverse scattering approach.

The first paper includes the biographical essay of M. Ostrohrads’kyi.

The trend of our conference is continuous increase of contributions devoted to problems of algebra, group theory and symmetries in physics and

other natural sciences. These contributions are collected in the second

part which includes papers devoted to representations and applications of

classical and deformed Lie algebras, supersymmetry and its various generalizations.