English

Nonlinear theory of soliton-induced waveguides

patt-sol 2009-10-31 v1 Pattern Formation and Solitons

Abstract

We develop a nonlinear theory of soliton-induced waveguides that describes a finite-amplitude probe beam guided by a spatial dark soliton in a saturable nonlinear medium. We suggest an effective way to control the interaction of these soliton-induced waveguides and also show that, in sharp contrast with scalar dark solitons, the dark-soliton waveguides can attract each other and even form stationary bound states.

Keywords

Cite

@article{arxiv.patt-sol/9808006,
  title  = {Nonlinear theory of soliton-induced waveguides},
  author = {Elena A. Ostrovskaya and Yuri S. Kivshar},
  journal= {arXiv preprint arXiv:patt-sol/9808006},
  year   = {2009}
}

Comments

3 pages, 4 figures