Discrete-Group Methods for Integrating Equations of Nonlinear Mechanics Theory, Solutions, and Applications

V.F. Zaitsev Russian Academy of Sciences, Moscow, Russia Andrei D. Polyanin Russian Academy of Sciences, Moscow, Russia

This monograph presents new discrete group methods for analyzing ordinary differential equations. The discrete groups of transformations of the Abel equation, Emden-Fowler equation, homogeneous equation in the extended sense, and Liennar equation are studied in detail. Many new integrable equations of the above types are described. Some concrete equations and problems often encountered in practical applications are analyzed.



302 pages, © 1994