2 problems

Tau-function Ablowitz–Ladik conjecture. The functions $U$ and $W$ satisfy the positive flows of the Ablowitz–Ladik hierarchy when $t^{2,k}$ is identified with $t_k$ for $k\geq 0$.…

Ablowitz–Ladik flow conjecture. Under this transformation, the positive flows $\frac{\partial}{\partial t_k}$ of the Ablowitz–Ladik hierarchy coincide with the flows…