English

On dbar-problem and integrable equations

Exactly Solvable and Integrable Systems 2007-05-23 v1

Abstract

Using the dbar-problem and dual dbar-problem, we derive bilinear relations which allows us to construct integrable hierarchies in different parametrizations, their Darboux-B\"{a}cklund transformations and to analyze constraints for them ina very simple way. Scalar KP, BKP and CKP hierarchies are considered as examples.

Keywords

Cite

@article{arxiv.nlin/0002049,
  title  = {On dbar-problem and integrable equations},
  author = {B. G. Konopelchenko},
  journal= {arXiv preprint arXiv:nlin/0002049},
  year   = {2007}
}

Comments

Latex, amsfonts. 12 pages