107 citations · 343 across the 13 of their papers we have counts for
14 papers
A semi-periodic initial-value problem for the Kadomtsev-Petviashvili II equation
P. Kalamvokas, V. G. Papageorgiou, A. S. Fokas +1
We investigate the Cauchy problem on the cylinder, namely the semi-periodic problem where there is periodicity in the -direction and decay in the -direction, for the Kadomtse…
Tetrahedron maps and symmetries of three dimensional integrable discrete equations
Pavlos Kassotakis, Maciej Nieszporski, Vassilios Papageorgiou +1
A relationship between the tetrahedron equation for maps and the consistency property of integrable discrete equations on is investigated. Our approach is a generali…
Integrable multi-component difference systems of equations
Pavlos Kassotakis, Maciej Nieszporski, Vassilios Papageorgiou +1
We present two lists of multi-component systems of integrable difference equations defined on the edges of a graph. The integrability of these systems is manifested…
3D compatible ternary systems and Yang-Baxter maps
Theodoros E. Kouloukas, Vassilios G. Papageorgiou
According to Shibukawa, ternary systems defined on quasigroups and satisfying certain conditions provide a way of constructing dynamical Yang-Baxter maps. After noticing that these…
Poisson Yang-Baxter maps with binomial Lax matrices
Theodoros E. Kouloukas, Vassilios G. Papageorgiou
A construction of multidimensional parametric Yang-Baxter maps is presented. The corresponding Lax matrices are the symplectic leaves of first degree matrix polynomials equipped wi…
Entwining Yang-Baxter maps and integrable lattices
Theodoros E. Kouloukas, Vassilios G. Papageorgiou
Yang-Baxter (YB) map systems (or set-theoretic analoga of entwining YB structures) are presented. They admit zero curvature representations with spectral parameter depended Lax tri…