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.
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
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
Joseph Krasil'shchik
integrable systems Hamiltonian operators Symplectic operators Recursion operators geometry of jet spaces