A higher-rank version of the Q3 equation
Abstract
A lattice system is derived which amounts to a higher-rank analogue of the Q3 equation, the latter being an integrable partial difference equation which has appeared in the ABS list of multidimensionally consistent quadrilateral lattice equations. By construction this new system incorporates various lattice equations of Boussinesq type that were discovered many years ago. A corresponding Lax representation is derived.
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