English

Dressing approach to the nonvanishing boundary value problem for the AKNS hierarchy

Exactly Solvable and Integrable Systems 2013-09-27 v3 Mathematical Physics math.MP

Abstract

We propose an approach to the nonvanishing boundary value problem for integrable hierarchies based on the dressing method. Then we apply the method to the AKNS hierarchy. The solutions are found by introducing appropriate vertex operators that takes into account the boundary conditions.

Keywords

Cite

@article{arxiv.1111.5372,
  title  = {Dressing approach to the nonvanishing boundary value problem for the AKNS hierarchy},
  author = {J. F. Gomes and Guilherme S. França and A. H. Zimerman},
  journal= {arXiv preprint arXiv:1111.5372},
  year   = {2013}
}

Comments

Published version Proc. Quantum Theory and Symmetries 7 (QTS7)(Prague, Czech Republic, 2011)