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- Title
Conservation Laws of Discrete Evolution Equations by Symmetries and Adjoint Symmetries.
- Authors
Wen-Xiu Ma
- Abstract
A direct approach is proposed for constructing conservation laws of discrete evolution equations, regardless of the existence of a Lagrangian. The approach utilizes pairs of symmetries and adjoint symmetries, in which adjoint symmetries make up for the disadvantage of non-Lagrangian structures in presenting a correspondence between symmetries and conservation laws. Applications are made for the construction of conservation laws of the Volterra lattice equation.
- Subjects
CONSERVATION laws (Physics); EVOLUTION equations; MATHEMATICAL equivalence; LAGRANGIAN functions; NUMERICAL solutions to Voterra equations
- Publication
Symmetry (20738994), 2015, Vol 7, Issue 2, p714
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym7020714