In this paper, we numerically study the (1 + 1)-dimensional inhomogeneous nonlinear Schro Β¨dinger (NLS) equation, which describes the propagation of light in the optical lattice with spatially inhomogeneous nonlinearities. The results reveal that in the exponentially decaying optical lattice, the da
Solutions for the propagation of light in nonlinear optical media with spatially inhomogeneous nonlinearities
β Scribed by Ruiyu Hao; Rongcao Yang; Lu Li; Guosheng Zhou
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 900 KB
- Volume
- 281
- Category
- Article
- ISSN
- 0030-4018
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β¦ Synopsis
In this paper, we present solutions for the nonlinear Schro Β¨dinger (NLS) equation with spatially inhomogeneous nonlinearities describing propagation of light in nonlinear media, under two sets of transverse modulation forms of inhomogeneous nonlinearity. The bright soliton solution and Gaussian solution have been obtained for one set of inhomogeneous nonlinearity modulation. For the other, bright soliton solution, black soliton solution and the train solution have been presented. Stability of the solutions has been determined by exact soliton solutions under certain conditions.
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