| Nonautonomous solitary-wave solutions of the generalized nonautonomous cubic-quintic nonlinear Schrdinger equation with time- and space-modulated coefficients |
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| 引用本文： | 何俊荣,李画眉.Nonautonomous solitary-wave solutions of the generalized nonautonomous cubic-quintic nonlinear Schrdinger equation with time- and space-modulated coefficients[J].中国物理 B,2013(4):138-143. |
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| 作者姓名： | 何俊荣 李画眉 |
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| 作者单位： | Department of Physics, Zhejiang Normal University |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No. 11175158);the Natural Science Foundation of Zhejiang Province of China (Grant No. LY12A04001) |
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| 摘 要： | A class of analytical solitary-wave solutions to the generalized nonautonomous cubic-quintic nonlinear Schrdinger equation with time- and space-modulated coefficients and potentials are constructed using the similarity transformation technique. Constraints for the dispersion coefficient, the cubic and quintic nonlinearities, the external potential, and the gain (loss) coefficient are presented at the same time. Various shapes of analytical solitary-wave solutions which have important applications of physical interest are studied in detail, such as the solutions in Feshbach resonance management with harmonic potentials, Faraday-type waves in the optical lattice potentials, and localized solutions supported by the Gaussian-shaped nonlinearity. The stability analysis of the solutions is discussed numerically.
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| 关 键 词： | generalized nonautonomous cubic–quintic nonlinear Schrdinger equation similarity reduction Faraday-type waves solitary wave solution |
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