46 citations · 46 across the 3 of their papers we have counts for
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nlin.SI2009
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…
nlin.SI2006
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…
nlin.SI2005
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…