On hyperelliptic solutions of spectral problem for the two-dimensional Schrödinger equation (Q2711742)

The author considers addition formulas for hyperelliptic functions on a Jacobi manifold. In the case of hyperelliptic curves of genus 2 these formulas yield relations for hyperelliptic \(\wp\)-functions which can be rewritten as integrable nonlinear differential equations, and also 2-dimensional differential equations generalizing two-gap Schrödinger equations with potentials of the form of a linear combination of hyperelliptic \( \wp\)-functions with shifted arguments.NEWLINENEWLINEFor the entire collection see [Zbl 0937.00046].