| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1534807 | Optics Communications | 2014 | 8 Pages |
Abstract
We solve the three-dimensional nonlinear Schrödinger equation with variable parabolic potential coefficients in strongly nonlocal nonlinear media. Exact analytical solutions in the form of self-similar waves, namely the Hermite-Bessel solitons, are found. Higher-order Hermite-Bessel solitons, which can exist in various forms such as the three-dimensional vortex solitons and the multipole solitons are also discussed. To ascertain the stability of these analytical solutions during evolution, numerical simulations have been performed.
Keywords
Related Topics
Physical Sciences and Engineering
Materials Science
Electronic, Optical and Magnetic Materials
Authors
Si-Liu Xu, Milivoj R. Belić,