English

Inverse scattering transform for the Toda lattice with steplike initial data

Spectral Theory 2010-08-04 v1 Mathematical Physics math.MP

Abstract

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+n \to +\infty. By the inverse scattering transform method formulas allowing us to find solution of the Toda lattice are obtained.

Cite

@article{arxiv.1008.0534,
  title  = {Inverse scattering transform for the Toda lattice with steplike initial data},
  author = {Agil Kh. Khanmamedov},
  journal= {arXiv preprint arXiv:1008.0534},
  year   = {2010}
}

Comments

10 pages

R2 v1 2026-06-21T15:56:24.012Z