Integrable Lattices and Their Sublattices Ii. from the B-quadrilateral Lattice to the Self-adjoint Schemes on the Triangular and the Honeycomb Lattices
نویسندگان
چکیده
An integrable self-adjoint 7-point scheme on the triangular lattice and an integrable self-adjoint scheme on the honeycomb lattice are studied using the sublattice approach. The star-triangle relation between these systems is introduced, and the Darboux transformations for both linear problems from the Moutard transformation of the B-(Moutard) quadrilateral lattice are obtained. A geometric interpretation of the Laplace transformations of the self-adjoint 7-point scheme is given and the corresponding novel integrable discrete 3D system is constructed.
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