English

Quadratic solitons as nonlocal solitons

Pattern Formation and Solitons 2009-11-10 v1

Abstract

We show that quadratic solitons are equivalent to solitons of a nonlocal Kerr medium. This provides new physical insight into the properties of quadratic solitons, often believed to be equivalent to solitons of an effective saturable Kerr medium. The nonlocal analogy also allows for novel analytical solutions and the prediction of novel bound states of quadratic solitons.

Keywords

Cite

@article{arxiv.nlin/0303003,
  title  = {Quadratic solitons as nonlocal solitons},
  author = {Nikola I. Nikolov and Dragomir Neshev and Ole Bang and Wieslaw Z. Krolikowski},
  journal= {arXiv preprint arXiv:nlin/0303003},
  year   = {2009}
}

Comments

4 pages, 3 figures

R2 v1 2026-07-22T18:10:39.930Z