English

Linear problems and B\"acklund transformations for the Hirota-Ohta system

Exactly Solvable and Integrable Systems 2011-10-18 v1 Mathematical Physics math.MP

Abstract

The auxiliary linear problems are presented for all discretization levels of the Hirota-Ohta system. The structure of these linear problems coincides essentially with the structure of Nonlinear Schr\"odinger hierarchy. The squared eigenfunction constraints are found which relate Hirota-Ohta and Kulish-Sklyanin vectorial NLS hierarchies.

Keywords

Cite

@article{arxiv.1007.4698,
  title  = {Linear problems and B\"acklund transformations for the Hirota-Ohta system},
  author = {V. E. Adler and V. V. Postnikov},
  journal= {arXiv preprint arXiv:1007.4698},
  year   = {2011}
}

Comments

11 pages, 1 figure

R2 v1 2026-06-21T15:53:34.482Z