Abstract
A new integrable lattice hierarchy is derived from a discrete 3 × 3 matrix spectral problem with three potentials. N-fold Darboux transformation (DT) for a typical lattice equation is constructed basing on its Lax representation, by means of which the explicit solutions in terms of determinant are obtained. Structures of the two- and four-soliton solutions are shown graphically. Inelastic interaction phenomena between/among the two and four solitons are discussed.
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