| Spatiotemporal Self-Similar Solutions of the Generalized (3+1)-dimensional Nonlinear Schrdinger Equation with Polynomial Nonlinearity of Arbitrary Order |
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| 引用本文： | 朱海平.Spatiotemporal Self-Similar Solutions of the Generalized (3+1)-dimensional Nonlinear Schrdinger Equation with Polynomial Nonlinearity of Arbitrary Order[J].理论物理通讯,2012(7). |
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| 作者姓名： | 朱海平 |
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| 基金项目： | Supported by the Applied Nonlinear Science and Technology from the Most Important Among all the Top Priority Disciplines of Zhejiang Province |
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| 摘 要： | We construct analytical self-similar solutions for the generalized (3+1)-dimensional nonlinear Schrdinger equation with polynomial nonlinearity of arbitrary order. As an example, we list self-similar solutions of quintic nonlinear Schrdinger equation with distributed dispersion and distributed linear gain, including bright similariton solution, fractional and combined Jacobian elliptic function solutions. Moreover, we discuss self-similar evolutional dynamic behaviors of these solutions in the dispersion decreasing fiber and the periodic distributed amplification system.
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| 关 键 词： | self-similar solutions (+)-dimensional nonlinear Schrdinger equation polynomial nonlinearity dynamic behaviors |
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