Addition formulae, Bäcklund transformations, periodic solutions and quadrilateral equations
Abstract
Addition formulae of trigonometric and elliptic functions are used to generate Bäcklund 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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2018
- DOI:
- 10.48550/arXiv.1801.01321
- arXiv:
- arXiv:1801.01321
- Bibcode:
- 2018arXiv180101321Z
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems