ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

New Generation Computer Reference Book "digran" On Exact Solutions of Differential Equations


A. V. Flegontov

St.-Petersburg, Russia,
Institute for Informatics and Automation of the
Russian Academy of Science


The system DIGRAN (DIscrete-GRoup ANalysis) is based on a new fundamental mathematical theory. Nonlocal and Baklund-type transformations are the basis for new algorithms of discrete group analysis of nonlinear differential equations. These algorithms are intended for searching general solutions of certain classes of nonlinear ordinary differential equations of the 2nd, 3rd, 4th, and higher orders that cannot be integrated by usual methods. The system DIGRAN involves some additional information (system structure, contents, glossary, basic notions, areas of application, comparison with other sources, and software/hardware platforms).

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