Invariant Variational Problems

  • I. H. Gamar
  • M. A. Bashir
Keywords: conservation laws, Lie algebra, Noether theorem, Invariant Variational problems

Abstract

This research is the study of conservation laws using Lie algebra of the symmetry Lie group. In particular, we consider conservation laws for invariant variational problems based on Noether theorem. We have provided a formula of conservation laws in terms of the Lie algebra of symmetry Lie group.  

References

Notes on Lie Groups – Eugene Lerman –February 15, 2012

M. A. Basher: Lecture notes, Alneelain University- 2012

AN INTRODUCTION TO DIFFERENTIABLE MANIFOLDS AND RIEMANNIAN GEOMETRY- WILLIAM.M. BOOTHBY

Symmetry and conservation laws. Thesis for the degree of doctor of philosophy –Växjö University, Sweeden2009

Invariant variational problems. (F.Klein on his fifty-Year Doctoral Jubile) By Emmy Noether in Gottingan;Translated by D.H. Delpenich

Symmetries and conservation laws obtained by Lie Group analysis for Certain Physical systems- MARCUS ERIKSSON- Uppsala School of Engineering-Uppsala University, Sweden

Introduction to Differential Invariants –Valeriy Yumaguzhin Opava 2005

Head A., LIE, a PC program for Lie analysis of differential equations, Comp. Phys. Commun., 1993, V.77, 24

Published
2019-12-01
Section
Articles