Tau Functions of (n,1) curves and Soliton Solutions on Non-Zero Constant Backgrounds

Atsushi Nakayashiki

We study the tau function of the KP-hierarchy associated with an (n,1) curve $y^n=x-\alpha$. If $\alpha =0$ the corresponding tau function is 1. On the other hand if $\alpha \ne 0$ the tau functio…