Addition formulae, B\"acklund transformations, periodic solutions and quadrilateral equations
classification
🌊 nlin.SI
keywords
equationsquadrilateralacklundadditionformulaeperiodicsolutionstransformations
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Addition formulae of trigonometric and elliptic functions are used to generate B\"acklund transformations together with their connecting quadrilateral equations. As a result we obtain periodic solutions for a number of multidimensionally consistent affine linear and multiquadratic quadrilateral equations.
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