208 citations · 1.4k across the 68 of their papers we have counts for
Showing 2004Show all
3 papers · 1 filter
nlin.SI2004★ 2 cited
Quantum discrete Dubrovin equations
Chris M. Field, Frank W. Nijhoff
The discrete equations of motion for the quantum mappings of KdV type are given in terms of the Sklyanin variables (which are also known as quantum separated variables). Both tempo…
nlin.SI2004★ 7 cited
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…
nlin.SI2004★ 9 cited
Generalized hyperbolic Ernst equations for an Einstein-Maxwell-Weyl field
Anastasios Tongas, Frank Nijhoff
A new family of nonlinear partial differential equations is presented. They represent a generalization of the hyperbolic Ernst equations for an Einstein-Mawxell-Weyl field in gener…