Work

Classification of 3D Consistent Quad-Equations

Year: 2011

Type: article

Abstract: We consider 3D consistent systems of six possibly different quad-equations assigned to the faces of a cube.The well-known classification of 3D consistent quad-equations, the so-called ABS-list, is included in this situation.The extension of these equations to the whole lattice Z 3 is possible by reflecting the cubes.For every quad-equation we will give at least one system included leading to a Bäcklund transformation and a zero-curvature representation which means that they are integrable.

Source: Journal of Nonlinear Mathematical Physics

DOI: 10.1142/s1402925111001647

Author: Raphael Boll

Institution: Technische Universität Berlin

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $1,490

Funder: Berlin Mathematical School