(1 + 2)-Dimensional sub-strongly nonlocal spatial optical solitons: Perturbation method |
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Authors: | Hongyan Ren Lijun Wu |
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Institution: | Laboratory of Photonic Information Technology, South China Normal University, Guangzhou 510631, China |
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Abstract: | By extending the (1 + 1)-dimensional (1 + 1)-D] perturbation method suggested by Ouyang et al. S. Ouyang, Q. Guo, W. Hu, Phys. Rev. E. 74 (2006) 036622] to the (1 + 2)-D case, we obtain a fundamental soliton solution to the (1 + 2)-D nonlocal nonlinear Schrödinger equation (NNLSE) with a Gaussian-type response function for the sub-strongly nonlocal case. Numerical simulations show that the soliton solution obtained in this paper can describe the soliton states in both the sub-strongly nonlocal case and the strongly nonlocal case. It is found that the phase constant and the power of the (1 + 2)-D strongly nonlocal spatial optical soliton with a Gaussian-type response function are both in inverse proportion to the 4th power of its beam width. |
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Keywords: | 42 65 Tg 42 65 Jx 42 70 Nq 42 70 Df |
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