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Classification of 3-dimensional integrable scalar discrete equations (2008)

Tsarev, Sergey ; Wolf, Thomas

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Publication Date: 2021-02-26

Description: We classify all integrable 3-dimensional scalar discrete affine linear equations $Q_3=0$ on an elementary cubic cell of the lattice ${\mathbb Z}^3$. An equation $Q_3=0$ %of such form is called integrable if it may be consistently imposed on all $3$-dimensional elementary faces of the lattice ${\mathbb Z}^4$. Under the natural requirement of invariance of the equation under the action of the complete group of symmetries of the cube we prove that the only ontrivial(non-linearizable) integrable equation from this class is the well-known dBKP-system.

Keywords: ddc:510

Language: English

Type: reportzib , doc-type:preprint

Format: application/pdf

Format: application/postscript

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