An analytical approach to soliton of the saturable non-linear Schrödinger equation determination and consideration of stability of solitary solutions of cubic–quintic non-linear Schrödinger equation (CQNLSE)
✍ Scribed by Behrooz Adib; Alireza Heidari; Sayyed Faramarz Tayyari
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 484 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1007-5704
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✦ Synopsis
Non-linear Schrödinger equation for optical medias with saturable non-linear refractive index is obtained and numerical calculation method is applied and soliton solution in anomalous dispersion region is also obtained. A comparison between its several main characters such as normalization, self-energy, and width with Kerr soliton is drawn. It is shown that despite Kerr medias, there are two soliton solutions with similar width and different amplitude in saturable medias. In addition, the stability of solitary solutions of cubic-quintic non-linear Schrödinger equation (CQNLSE), which controls electromagnetic pulse propagation in non-linear optical fibers, is analytically studied.