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nlin.SI2011★ 6 cited
On some integrable lattice related by the Miura-type transformation to the Itoh-Narita-Bogoyavlenskii lattice
Andrei K. Svinin
We show that by Miura-type transformation the Itoh-Narita-Bogoyavlenskii lattice, for any , is related to some differential-difference (modified) equation. We present corr…
nlin.SI2011★ 1 cited
A remark on Dickey's stabilizing chain
Andrei K. Svinin
We observe that Dickey's stabilizing chain can be naturally included into two-dimensional chain of infinitely many copies of equations of KP hierarchy.
nlin.SI2011★ 15 cited
On some class of homogeneous polynomials and explicit form of integrable hierarchies of differential-difference equations
Andrei K. Svinin
We introduce two classes of homogeneous polynomials and show their role in constructing of integrable hierarchies for some integrable lattices.