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Stationary Solutions for the Nonlinear Dispersive Schrödinger Equation with Generalized Evolution
並列摘要
This paper carries out the integration of the nonlinear dispersive Schrödinger equation with generalized evolution by the aid of Lie symmetry analysis. We study three types of nonlinearity in this paper. These are power law nonlinearity, dual-power law nonlinearity, and finally log law nonlinearity. From the first two types of nonlinearity the special cases of the Kerr law and parabolic law nonlinearity are easily revealed.
並列關鍵字
無資料參考文獻
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被引用紀錄
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延伸閱讀
- Ye, Y. (2009). Self-Similar Solutions for Nonlinear Schrödinger Equations. Mathematical Problems in Engineering, 2009(), 824-838-49. https://doi.org/10.1155/2009/298980
- Huang, M., & Zhou, Z. (2013). Standing Wave Solutions for the Discrete Coupled Nonlinear Schrödinger Equations with Unbounded Potentials. Abstract and Applied Analysis, 2013(), 562-567-1158. https://doi.org/10.1155/2013/842594
- Chen, S., & Zhang, D. (2014). Existence of Nontrivial Solutions for Periodic Schrödinger Equations with New Nonlinearities. Abstract and Applied Analysis, 2014(), 450-459-846. https://doi.org/10.1155/2014/539639
- Ye, Y. J. (2008). Global Self-similar Solutions of a Class of Nonlinear Schrödinger Equations. Abstract and Applied Analysis, 2008(), 835-843. https://doi.org/10.1155/2008/836124
- Deng, G. J. (2017). The Underlying Theory and Special Solutions of Nonlinear Schrödinger equation [master's thesis, National Chiao Tung University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0030-0705201811384635