English

Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds

Exactly Solvable and Integrable Systems 2009-10-06 v2 Mathematical Physics math.MP

Abstract

We provide a rigorous treatment of the inverse scattering transform for the entire Toda hierarchy for solutions which are asymptotically close to (in general) different finite-gap solutions as n±n\to\pm\infty.

Keywords

Cite

@article{arxiv.0905.1800,
  title  = {Inverse scattering transform for the Toda hierarchy with steplike finite-gap backgrounds},
  author = {Iryna Egorova and Johanna Michor and Gerald Teschl},
  journal= {arXiv preprint arXiv:0905.1800},
  year   = {2009}
}

Comments

10 pages