Solitons of the vector KdV and Yamilov lattices

Abstract

We study a vector generalizations of the lattice KdV equation and one of the simplest Yamilov equations. We use algebraic properties of a certain class of matrices to derive the N-soliton solutions.

References in corpus (2)

• On Miura Transformations and Volterra-Type Equations Associated with the Adler-Bobenko-Suris Equations
• Solitons of a vector model on the honeycomb lattice