7 citations · 7 across the 1 of their papers we have counts for
4 papers
The Boussinesq integrable system. Compatible lattice and continuum structures
Anastasios Tongas, Frank Nijhoff
We consider the discrete Boussinesq integrable system and the compatible set of differential difference, and partial differential equations. The latter not only encode the complete…
The Discrete and Continuous Painleve VI Hierarchy and the Garnier Systems
F. W. Nijhoff, A. J. Walker
We present a general scheme to derive higher-order members of the Painleve VI (PVI) hierarchy of ODE's as well as their difference analogues. The derivation is based on a discrete…
On Discrete Painleve Equations Associated with the Lattice KdV Systems and the Painleve VI Equation
F. W. Nijhoff, A. Ramani, B. Grammaticos +1
A new integrable nonautonomous nonlinear ordinary difference equation is presented which can be considered to be a discrete analogue of the Painleve V equation. Its derivation is b…
Integrable Quantum Mappings and Quantization Aspects of Integrable Discrete-time Systems
F. W. Nijhoff, H. W. Capel
We study a quantum Yang-Baxter structure associated with non-ultralocal lattice models. We discuss the canonical structure of a class of integrable quantum mappings, i.e. canonical…