46 citations · 146 across the 16 of their papers we have counts for
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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…
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…
Partial Euler operators and the efficient inversion of Div
Peter E. Hydon
The problem of inverting the total divergence operator is central to finding components of a given conservation law. This might not be taxing for a low-order conservation law of a…
Transformations, symmetries and Noether theorems for differential-difference equations
Linyu Peng, Peter E Hydon
The first part of this paper develops a geometric setting for differential-difference equations that resolves an open question about the extent to which continuous symmetries can d…
Extensions of Noether's Second Theorem: from continuous to discrete systems
Peter E. Hydon, Elizabeth L. Mansfield
A simple local proof of Noether's Second Theorem is given. This proof immediately leads to a generalization of the theorem, yielding conservation laws and/or explicit relationships…