Solitons in high-energy QCD

We study the asymptotic solutions of the Schrödinger equation for the color-singlet reggeon compound states in multi-color QCD. We show that in the leading order of asymptotic expansion, quasiclassical reggeon trajectories have the form of soliton waves propagating on the 2-dimensional plane of transverse coordinates. Applying the methods of the finite-gap theory we construct their explicit form in terms of Riemann θ-functions and examine their properties.