Relations between symmetries and conservation laws for difference systems

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

This paper presents a relation between divergence variational symmetries for difference variational problems on lattices and conservation laws for the associated Euler–Lagrange system provided by Noether's theorem. This inspires us to define conservation laws related to symmetries for arbitrary difference equations with or without Lagrangian formulations. These conservation laws are constrained by partial differential equations obtained from the symmetries generators. It is shown that the orders of these partial differential equations have been reduced relative to those used in a general approach. Illustrative examples are presented.

Original languageEnglish
Pages (from-to)1609-1626
Number of pages18
JournalJournal of Difference Equations and Applications
Volume20
Issue number12
DOIs
Publication statusPublished - 2014 Dec 2
Externally publishedYes

Fingerprint

Conservation Laws
Conservation
Symmetry
Partial differential equations
Partial differential equation
Noether's theorem
Difference equations
Variational Problem
Difference equation
Divergence
Generator
Formulation
Arbitrary

Keywords

  • conservation law
  • difference equation
  • difference variational problem
  • symmetry

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics
  • Analysis

Cite this

Relations between symmetries and conservation laws for difference systems. / Peng, Linyu.

In: Journal of Difference Equations and Applications, Vol. 20, No. 12, 02.12.2014, p. 1609-1626.

Research output: Contribution to journalArticle

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