Inverse scattering transform for the Toda lattice with steplike initial data

Details Inverse scattering transform for the Toda lattice with steplike initial data Inverse scattering transform for the Toda lattice with steplike initial data

2010-08-03

arxiv.org/abs/1008.0534v1

Mathematics

Spectral Theory

10 pages

Scientific paper

We study the solution of the Toda lattice Cauchy problem with steplike
initial data. The initial data are supposed to tend to zero as $n \to +\infty$.
By the inverse scattering transform method formulas allowing us to find
solution of the Toda lattice are obtained.

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