Title  Gröbner Bases and Involutive Methods for Algebraic and Differential Equations 
Author(s)  Vladimir P. Gerdt 
Type  Article in Journal 
Abstract  In this paper we consider and illustrate by examples some recently developed computer algebra methods for analysis and for solving nonlinear algebraic and differential equations. The foundation of those methods is either transformation of initial equations to an equivalent, often called standard, form or their reduction to a finite set of standard form subsystems. As a standard form we consider here one or an other Groebner basis with special emphasis on its involutive extension. Applications to symmetry and integrability analysis of partial differential equations and solving
polynomial equation systems are singled out as possible applications. 
Keywords  involutive methods, partial differential equations, solving nonlinear algebraic and differential equations, involutive bases 
Length  21 
File 

URL 
http://invo.jinr.ru/papers.phtml 
Language  English 
Year  2001 
Edition  0 
Translation 
No 
Refereed 
No 
Institution 
JINR (Joint Institute for Nuclear Research) 