Addition formulae, Backlund transformations, periodic solutions, and quadrilateral equations

Abstract

Addition formulae of trigonometric and elliptic functions are used to generate Backlund transformations together with their connecting quadrilateral equations. As a result, we obtain the periodic solutions for a number of multidimensionally consistent affine linear and multiquadratic quadrilateral equations.

Keywords

Addition formulae / trigonometric functions / elliptic functions / Backlund transformation / quadrilateral equations

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