Asymptotics for Solution to the Cauchy Problem for Volterra Lattice with Step-Like Initial Values

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153856The connection between modulated Riemann surface of genus one and solution to Volterra lattice that tends to constants at infinity is studied. The main term of asymptotics for large time of solution to the mentioned Cauchy problem is written out.Exactly Solvable and Integrable SystemsAsymptotics for Solution to the Cauchy Problem for Volterra Lattice with Step-Like Initial Valuestext