| Novel exact solutions of coupled nonlinear Schrōdinger equations with time-space modulation |
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| 作者姓名： | 陈俊超 李彪 陈勇 |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （Grant Nos. 11275072, 11075055, and 11271211）, the Research Fund for the Doctoral Program of Higher Education of China （Grant No. 20120076110024）, the Innovative Research Team Program of the National Natural Science Foundation of China （Grant No. 61021004）, the Shanghai Leading Academic Discipline Project, China （Grant No. B412）, the National High Technology Research and Development Program of China （Grant No. 2011AA010101）, and the Shanghai Knowledge Service Platform for Trustworthy Interuet of Things, China （Grant No. ZF1213）. |
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| 摘 要： | We construct various novel exact solutions of two coupled dynamical nonlinear Schrōdinger equations. Based on the similarity transformation, we reduce the coupled nonlinear Schrōdinger equations with time-and space-dependent potentials, nonlinearities, and gain or loss to the coupled dynamical nonlinear Schrrdinger equations. Some special types of non-travelling wave solutions, such as periodic, resonant, and quasiperiodically oscillating solitons, are used to exhibit the wave propagations by choosing some arbitrary functions. Our results show that the number of the localized wave of one component is always twice that of the other one. In addition, the stability analysis of the solutions is discussed numerically.
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| 关 键 词： | 非线性耦合 薛定谔方程 精确解 非线性动力学方程 调制 时空 动力非线性 稳定性分析 |
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