Exact chirped gray soliton solutions of the nonlinear Schrödinger equation with variable coefficients |
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Authors: | Juanfen Wang Suotang Jia |
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Affiliation: | College of Physics and Electronics Engineering, Shanxi University, Taiyuan 030006, China |
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Abstract: | In this paper, we consider the nonlinear Schrödinger equation with variable coefficients, and by using direct transformation of variables and functions, the explicit chirped gray one- and two-soliton solutions are presented. Based on the exact solutions, we in detail analyze the propagation characteristics of the chirped gray soliton, including the stability against either the deviation from integrable condition or the initial perturbation, and interaction between the chirped gray solitons. The results show that the gray soliton can be compressed by choosing the appropriate initial chirp, and the chirped gray pulses can stably propagate along optical fibers remaining the character of solitons. |
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Keywords: | 42.81.Dp 42.65.Tg 05.45.Yv |
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