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math-ph2023
Moving Frames: Difference and Differential-Difference Lagrangians
Lewis C. White, Peter E. Hydon
This paper develops moving frame theory for partial difference equations and for differential-difference equations with one continuous independent variable. In each case, the theor…
math-ph2023
The difference variational bicomplex and multisymplectic systems
Linyu Peng, Peter E. Hydon
The difference variational bicomplex, which is the natural setting for systems of difference equations, is constructed and used to examine the geometric and algebraic properties of…