Application of Symmetry Analysis to Dynamical Systems.

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.

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Document Details

Document Type
Technical Report
Publication Date
Nov 14, 1995
Accession Number
ADA308514

Entities

People

  • G. H. Katzin
  • V. Rosenhaus

Organizations

  • Shaw University

Tags

DTIC Thesaurus Topics

  • Classification
  • Differential Equations
  • Electrical Solitons
  • Equations
  • Euler Equations
  • Identities
  • Information Operations
  • Inverse Problems
  • Lagrangian Functions
  • Navier Stokes Equations
  • North Carolina
  • Partial Differential Equations
  • Particle In Cell
  • Security
  • Symmetry
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Theoretical Analysis.