On some integrable lattice related by the Miura-type transformation to the Itoh-Narita-Bogoyavlenskii lattice

Details On some integrable lattice related by the Miura-type transformation to the Itoh-Narita-Bogoyavlenskii lattice On some integrable lattice related by the Miura-type transformation to the Itoh-Narita-Bogoyavlenskii lattice

2011-06-08

arxiv.org/abs/1106.1488v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex, 9 pages

Scientific paper

We show that by Miura-type transformation the Itoh-Narita-Bogoyavlenskii
lattice, for any $n\geq 1$, is related to some differential-difference
(modified) equation. We present corresponding integrable hierarchies in its
explicit form. We study the elementary Darboux transformation for modified
equations.

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