Addition formulae, B\"acklund transformations, periodic solutions and quadrilateral equations
Exactly Solvable and Integrable Systems
2018-01-08 v1
Abstract
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.
Cite
@article{arxiv.1801.01321,
title = {Addition formulae, B\"acklund transformations, periodic solutions and quadrilateral equations},
author = {Danda Zhang and Da-jun Zhang},
journal= {arXiv preprint arXiv:1801.01321},
year = {2018}
}