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Solutions for the propagation of light in nonlinear optical media with spatially inhomogeneous nonlinearities |
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| Authors: | Ruiyu Hao Rongcao Yang Lu Li Guosheng Zhou |
| Institution: | a Department of Electronic Information and Physics, Changzhi College, Changzhi 046011, China b College of Physics and Electronics Engineering, Shanxi University, Taiyuan 030006, China c State Key Subject of Optics, Taiyuan 030006, China |
| Abstract: | In this paper, we present solutions for the nonlinear Schrödinger (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. |
| Keywords: | 42 70 Qs 42 65 Wi 42 65 Tg |
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