Bäcklund transformations of $Z_n$-Sine-Gordon systems

Xueping Yang, Chuanzhong Li

In this paper, from the algebraic reductions from the Lie algebra $gl(n,\mathbb{C})$ to its commutative subalgebra $Z_n$, we construct the general $Z_n$-Sine-Gordon and $Z_n$-Sinh-G…