15 citations · 94 across the 32 of their papers we have counts for
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nlin.SI2001★ 15 cited
Extension of the discrete KP hierarchy
A. K. Svinin
We introduce the discrete hierarchy which naturally generalizes well known discrete KP hierarchy.
nlin.SI2001★ 13 cited
A class of integrable lattices and KP hierarchy
A. K. Svinin
We introduce a class of integrable -field first-order lattices together with corresponding Lax equations. These lattices may be represented as consistency condition for auxiliar…
nlin.SI2001★ 4 cited
n-th discrete KP hierarchy
A. K. Svinin
We report an infinite class of discrete hierarchies which naturally generalize familiar discrete KP one.
nlin.SI2001★ 7 cited
Differential constraints for the Kaup -- Broer system as a reduction of the 1D Toda lattice
A. K. Svinin
It is shown that some special reduction of infinite 1D Toda lattice gives differential constraints compatible with the Kaup -- Broer system. A family of the travelling wave solutio…