UDC
517.92

CONSTRUCTION OF DIFFERENTIAL EQUATIONS OF ALLOWABLE GROUPS OF TRANSFORMATIONS Construction of differential equations of allowable groups of transformations

Published in International Journal of Applied Sciences and Technology Integral · Rubric: Matematicheskoe modelirovanie
Received: 06.12.2017 Accepted: 15.12.2017 Published: 25.12.2017 Language of publication: ENG
The application of group analysis for the solution of nonlinear ordinary equations isconsidered in the article. Group analysis is the only universal and effective method for the analytical solution of nonlinear differential equations. In this paper, in two particular cases, a general form of differential equations admitting groups of transformations given by the operator is found, and certain particular cases of these equations are solved.
Group analysis, invariants of groups, infinitesimal operator, integrating factor