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

作　　者：Danda ZHANG Da-jun ZHANG 

机构地区：[1]School of Mathematics and Statistics, Ningbo University, Ningbo 315211, China [2]Department of Mathematics, Shanghai University, Shanghai 200444, China

出　　处：《Frontiers of Mathematics in China》2019年第1期203-223,共21页中国高等学校学术文摘·数学（英文）

基　　金：National Natural Science Foundation of China (Grant Nos. 11631007. 11875040);DDZ was supported by the National Natural Science Foundation of China (Grant No. 11801289);K. C. Wong Magna Fund in Ningbo University.

摘　　要：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.

关 键 词：Addition FORMULAE trigonometric FUNCTIONS elliptic FUNCTIONS BACKLUND transformation QUADRILATERAL EQUATIONS 

分 类 号：O[理学]