The Symbolic Computation of Integrability Structures for Partial Differential Equations - Hardcover

by Joseph Krasil'shchik (Author), Alexander Verbovetsky (Author), Raffaele Vitolo (Author)

Proposes a new approach and new software for computations
Discusses example programs
Represents the only book on integrable systems and symbolic computations of integrability operators

Back Jacket

This is the first book devoted to the task of computing integrability structures by computer. The symbolic computation of integrability operator is a computationally hard problem and the book covers a huge number of situations through tutorials. The mathematical part of the book is a new approach to integrability structures that allows to treat all of them in a unified way. The software is an official package of Reduce. Reduce is free software, so everybody can download it and make experiments using the programs available at our website.

Author Biography

Joseph Krasil'shchik is a principal researcher at the Institute of Control Sciences of Russian Academy of Sciences and a full professor at the Independent University of Moscow.

Alexander Verbovetsky is a lecturer at the Independent University of Moscow.

Raffaele Vitolo is an associate professor in mathematical physics at the Department of Mathematics and Physics 'E. De Giorgi' of the Università del Salento.