Conservation Laws of Discrete Evolution Equations by Symmetries and Adjoint Symmetries

Symmetry

Wen-Xiu Ma¹ 

[1] College of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China

关键词: symmetry;    adjoint symmetry;    conservation law;   

DOI  :  10.3390/sym7020714

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland