论文信息 - Darboux transformations for multidimensional quadrilateral lattices. I

Darboux transformations for multidimensional quadrilateral lattices. I

Abstract The vectorial Darboux transformation for the multidimensional quadrilateral lattice equations is constructed. Its particular reduction to the case of trivial background gives Gramm, Wronski and Casorati type representations for the solutions. Some examples of the quadrilateral lattices are constructed explicitly.

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