On commuting differential operators.
On nonlinear equations integrable in theta-functions of nonprincipally polarized Abelian varieties.
On quadrirational Yang-Baxter maps.
On rational and periodic solutions of stationary KdV equations.
On the integrability of the generalized Yang-Mills system
We consider a hamiltonian system which, in a special case and under the gauge group SU(2), can be considered as a reduction of the Yang-Mills field equations. We prove explicitly, using the Lax spectral curve technique and the van Moerbeke-Mumford method, that the flows generated by the constants of motion are straight lines on the Jacobi variety of a genus two Riemann surface.
On two-dimensional finite-gap potential Schrödinger and Dirac operators with singular spectral curves.