46 citations · 46 across the 3 of their papers we have counts for
4 papers
Asymmetric integrable quad-graph equations
Peter E. Hydon, Claude-M. Viallet
Integrable difference equations commonly have more low-order conservation laws than occur for nonintegrable difference equations of similar complexity. We use this empirical observ…
Multisymplectic formulation of fluid dynamics using the inverse map
C. J. Cotter, D. D. Holm, P. E. Hydon
We construct multisymplectic formulations of fluid dynamics using the inverse of the Lagrangian path map. This inverse map -- the ``back-to-labels'' map -- gives the initial Lagran…
Integrability conditions for nonautonomous quad-graph equations
R. Sahadevan, O. G. Rasin, P. E. Hydon
This paper presents a systematic investigation of the integrability conditions for nonautonomous quad-graph maps, using the Lax pair approach, the ultra-local singularity confineme…
Conservation Laws of Discrete Korteweg-de Vries Equation
Olexandr G. Rasin, Peter E. Hydon
All three-point and five-point conservation laws for the discrete Korteweg-de Vries equations are found. These conservation laws satisfy a functional equation, which we solve by re…