3 problems

The odd-dimensional open Volterra system, the even-dimensional periodic Volterra system, the full Toda lattice, the multidimensional Euler top, and the regular case of the cited bi…

Degree–singularity–root conjecture. The degree $\eta(w_*)$ of $p(q)$ is the multiplicity $d$ at $p_o$, where $d$ is given by the minimal degree of the product of the $\tau$-functio…

Consider initial data that are the $x$-derivative of a rapidly decreasing smooth function in $L_{2}(\mathbb{R}^{2})$ with a single maximum. Write the two-dimensional dispersionless…