He, Jingsong ; Xu, Shuwei ; Porsezian, Kuppuswamy (2012) Rogue waves of the Fokas–Lenells equation Journal of the Physical Society of Japan, 81 (1). 124007_1-124007_4. ISSN 0031-9015
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Official URL: http://jpsj.ipap.jp/link?JPSJ/81/124007/
Related URL: http://dx.doi.org/10.1143/JPSJ.81.124007
Abstract
The Fokas–Lenells (FL) equation arises as a model equation which describes for nonlinear pulse propagation in optical fibers by retaining terms up to the next leading asymptotic order [in the leading asymptotic order the nonlinear Schrödinger (NLS) equation results]. Here we present an explicit analytical representation for the rogue waves of the FL equation. This representation is constructed by deriving an appropriate Darboux transformation (DT) and utilizing a Taylor series expansion of the associated breather solution. When certain higher-order nonlinear effects are considered, the propagation of rogue waves in optical fibers is given.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Japan Publications Trading Co., Ltd. |
| ID Code: | 97613 |
| Deposited On: | 22 May 2013 06:52 |
| Last Modified: | 22 May 2013 06:52 |
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