Abstract
A new model of light propagation through a so-called weakly three-dimensional Cole-Cole nonlinear medium with short-range nonlocality was recently proposed. In particular, it was shown that in the geometric optics limit, the model is integrable and is governed by the dispersionless Veselov-Novikov (dVN) equation. The Burgers-Hopf equation can be obtained as a (1+1)-dimensional reduction of the dVN equation. We discuss its properties in the specific context of nonlinear geometric optics and consider an illustrative explicit example.
| Original language | English |
|---|---|
| Pages (from-to) | 968-974 |
| Number of pages | 7 |
| Journal | Theoretical and Mathematical Physics |
| Volume | 144 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jul 2005 |
| Externally published | Yes |
Keywords
- Integrable systems
- Nonlinear optics