13 citations · 13 across the 2 of their papers we have counts for
3 papers
nlin.SI2009★ 13 cited
Infinitely many conservation laws for the discrete KdV equation
Alexander G. Rasin, Jeremy Schiff
In \cite{RH3} Rasin and Hydon suggested a way to construct an infinite number of conservation laws for the discrete KdV equation (dKdV), by repeated application of a certain symmet…
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…