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 analytical solutions and the prediction of bound states of quadratic solitons.
| Original language | English |
|---|---|
| Article number | 036614 |
| Journal | Physical Review E. Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 68 |
| Issue number | 3 |
| Pages (from-to) | 366141-366145 |
| ISSN | 1063-651X |
| DOIs | |
| Publication status | Published - 2003 |
Bibliographical note
Copyright (2003) American Physical Society.Keywords
- SPATIAL SOLITARY WAVES
- CRYSTALS
- PHYSICS
- NONLINEAR MEDIA
Cite this
Nikolov, N. I., Neshev, D., Bang, O., & Królikowski, W. (2003). Quadratic solitons as nonlocal solitons. Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 68(3), 366141-366145. [036614]. https://doi.org/10.1103/PhysRevE.68.036614