| Issue |
EPL
Volume 92, Number 2, October 2010
|
|
|---|---|---|
| Article Number | 24005 | |
| Number of page(s) | 6 | |
| Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
| DOI | https://doi.org/10.1209/0295-5075/92/24005 | |
| Published online | 17 November 2010 | |
Exact spatial similaritons for the generalized (2+1)-dimensional nonlinear Schrödinger equation with distributed coefficients
1
School of Physical Science and Technology, Suzhou University - Suzhou, Jiangsu 215006, PRC
2
School of Sciences, Zhejiang A&F University - Lin'an, Zhejiang 311300, PRC
3
Institute of Nonlinear Physics, Zhejiang Normal University - Jinhua, Zhejiang 321004, PRC
a
dcq424@126.com
b
szhu@suda.edu.cn
Received:
29
July
2010
Accepted:
10
October
2010
Based on a similarity transformation, we obtain exact spatial bright and dark similariton pairs and bright similaritons on continuous-wave backgrounds of the generalized (2+1)-dimensional nonlinear Schrödinger equation with space-dependent diffraction, nonlinearity, and gain coefficients. Some characteristic examples with physical relevance and the interaction behaviors of these similaritons are studied.
PACS: 42.81.Dp – Propagation, scattering, and losses; solitons / 42.65.Tg – Optical solitons; nonlinear guided waves / 05.45.Yv – Solitons
© EPLA, 2010
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