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

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

1997-02-20

arxiv.org/abs/solv-int/9702005v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

The 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.

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