Solutions of the $\mathrm{SU}(n+1)$ Toda system from meromorphic functions

Yiqian Shi, Chunhui Wei, Bin Xu

We consider the $\mathrm{SU}(n+1)$ Toda system on a simply connected domain $\Omega$ in $\mathbb{C}$, the $n=1$ case of which coincides with the Liouville equation $\Delta u+8e^u=0$. A classical r…