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Book review

Author(s) Clarkson, P.A. (ed.)
Title Applications of analytic and geometric methods to nonlinear differential equations
Publisher Kluwer Acad. Publishers
Year of publication 1993
Reviewed by Balan Vladimir

The book represents the Proceedings of the Advanced Research Workshop held on the St. Luke's Campus at the University of Exeter, U.K., in July 1992 and contains 42 lectures; it is structured into 4 chapters, and covers a large palette of topics within the context of integrable and near-integrable systems and their applications.

The first chapter is concerned with reductions of Self-dual Yang-Mills equations and twistor theory; the second deals with soliton theory and near-integrable equations; the last two chapters contain applications of Painleve analysis and symmetries of nonlinear partial differential equations. The lectures include diagrams, graphics, tables and lists of references; also, the volume contains the lists of participants and contributors, an index of contributors, an author index and a subject index.

The level is advanced; the book should be of major interest to mathematics researchers involved with geometric and analytical aspects of integrable and near-integrable systemic It represents a good investment for specialists in the area and for libraries.