15 citations · 60 across the 7 of their papers we have counts for
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Darboux integrability of determinant and equations for principal minors
Dmitry K. Demskoi, Dinh T. Tran
We consider equations that represent a constancy condition for a 2D Wronskian, mixed Wronskian-Casoratian and 2D Casoratian. These determinantal equations are shown to have the num…
A Lax pair of a lattice equation whose entropy vanishes
Dinh T. Tran
In this paper, we present multi parametric quadgraph equations which are consistent around the cube. These equations are obtained by applying a `double twist' to known integrable e…
Poisson structures for lifts and periodic reductions of integrable lattice equations
Theodoros E. Kouloukas, Dinh T. Tran
We introduce and study suitable Poisson structures for four dimensional maps derived as lifts and specific periodic reductions of integrable lattice equations. These maps are Poiss…
Integrable and superintegrable systems associated with multi-sums of products
Peter H. van der Kamp, Theodoros E. Kouloukas, G. R. W. Quispel +2
We construct and study certain Liouville integrable, superintegrable, and non-commutative integrable systems, which are associated with multi-sums of products.