Journal
SYMMETRY-BASEL
Volume 7, Issue 2, Pages 714-725Publisher
MDPI AG
DOI: 10.3390/sym7020714
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Funding
- NNSFC [11371326, 11271008, 1371361]
- Fundamental Research Funds for the Central Universities [2013XK03]
- Natural Science Foundation of Shandong Province [ZR2013AL016]
- Zhejiang Innovation Project of China [T200905]
- First-class Discipline of Universities in Shanghai
- Shanghai University Leading Academic Discipline Project [A.13-0101-12-004]
- Shanghai University of Electric Power
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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.
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