Analytical Periodic Wave and Soliton Solutions of the Generalized Nonautonomous Nonlinear Schrdinger Equation in Harmonic and Optical Lattice Potentials |
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引用本文: | 周嘉仪,李画眉,何俊荣.Analytical Periodic Wave and Soliton Solutions of the Generalized Nonautonomous Nonlinear Schrdinger Equation in Harmonic and Optical Lattice Potentials[J].理论物理通讯,2012(9). |
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作者姓名: | 周嘉仪 李画眉 何俊荣 |
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基金项目: | Supported by the National Natural Science Foundation of China under Grant Nos.10875106 and 11175158 |
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摘 要: | We construct analytical periodic wave and soliton solutions to the generalized nonautonomous nonlinear Schrdinger equation with time-and space-dependent distributed coefficients in harmonic and optical lattice potentials.We utilize the similarity transformation technique to obtain these solutions.Constraints for the dispersion coefficient,the nonlinearity,and the gain(loss) coefficient are presented at the same time.Various shapes of periodic wave and soliton solutions are studied analytically and physically.Stability analysis of the solutions is discussed numerically.
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关 键 词: | generalized nonautonomous nonlinear Schrdinger equation optical lattice potential periodic wave soliton |
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