Accession Number : ADA308514

Title :   Application of Symmetry Analysis to Dynamical Systems.

Descriptive Note : Final rept. 1 Jun 92-14 Nov 95,

Corporate Author : SHAW UNIV RALEIGH NC

Personal Author(s) : Rosenhaus, V. ; Katzin, G. H.

PDF Url : ADA308514

Report Date : 14 NOV 1995

Pagination or Media Count : 4

Abstract : Group theoretical approach to study of symmetry properties, local conservation laws and inverse problem of variations is applied for a wide class of nonlinear partial differential equations. For the equations of the class the correspondence between symmetries and local conserved currents is established. Many interesting equations belong to the class, e.g. regularized long-wave equation, nonlinear diffusion equation and Navier-Stokes equations. A number of important differential identities was derived and shown to determine symmetry-related characteristics of differential systems.

Descriptors :   *MATHEMATICAL MODELS, *SYMMETRY, *CONSERVATION, METHODOLOGY, DYNAMICS, THEORY, NONLINEAR DIFFERENTIAL EQUATIONS, NONLINEAR SYSTEMS, PARTIAL DIFFERENTIAL EQUATIONS, DIFFUSION, EQUATIONS, LONG WAVELENGTHS, NAVIER STOKES EQUATIONS, IDENTITIES.

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE