On vector analogs of the modified Volterra lattice

Abstract

Modified Volterra lattice admits two vector generalizations. One of them is studied for the first time. The zero curvature representations, Bäcklund transformations, nonlinear superposition principle and the simplest explicit solutions of soliton and breather type are presented for both vector lattices. The relations with some other integrable equations are established.

17 pages, 4 figures

References in corpus (5)

• Classification of integrable polynomial vector evolution equations
• Classification of polynomial integrable systems of mixed scalar and vector evolution equations. I
• Discrete differential geometry. Consistency as integrability
• The lattice Schwarzian KdV equation and its symmetries
• Classification of integrable Volterra type lattices on the sphere. Isotropic case

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