All Outputs (2)

The second Painlevé equation, a related nonautonomous semidiscrete equation, and a limit to the first Painlevé equation: scalar and matrix cases (2018)
Journal Article

In this paper we consider the matrix nonautonomous semidiscrete (or lattice) equation D dtUn = (2n − 1)(Un+1 − Un−1)−1, as well as the scalar case thereof. This equation was recently derived in the context of auto-Bäcklund transformations for a matri... Read More about The second Painlevé equation, a related nonautonomous semidiscrete equation, and a limit to the first Painlevé equation: scalar and matrix cases.

Behaviour of the extended modified Volterra lattice --reductions to generalised mKdV and NLS equations (2018)
Journal Article

We consider the first member of an extended modified Volterra lattice hierarchy. This system of equations is differential with respect to one independent variable and differential-delay with respect to a second independent variable. We use asymptot... Read More about Behaviour of the extended modified Volterra lattice --reductions to generalised mKdV and NLS equations.