94 citations · 404 across the 21 of their papers we have counts for
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nlin.SI2007★ 7 cited
Integrable dynamics of Toda-type on the square and triangular lattices
Paolo Maria Santini, Adam Doliwa, Maciej Nieszporski
In a recent paper we constructed an integrable generalization of the Toda law on the square lattice. In this paper we construct other examples of integrable dynamics of Toda-type o…
nlin.SI2007★ 51 cited
On the solutions of the dKP equation: nonlinear Riemann Hilbert problem, longtime behaviour, implicit solutions and wave breaking
S. V. Manakov, P. M. Santini
We make use of the nonlinear Riemann Hilbert problem of the dispersionless Kadomtsev Petviashvili equation, i) to construct the longtime behaviour of the solutions of its Cauchy pr…
nlin.SI2007★ 10 cited
Integrable lattices and their sublattices II. From the B-quadrilateral lattice to the self-adjoint schemes on the triangular and the honeycomb lattices
A. Doliwa, M. Nieszporski, P. M. Santini
An integrable self-adjoint 7-point scheme on the triangular lattice and an integrable self-adjoint scheme on the honeycomb lattice are studied using the sublattice approach. The st…