Novel exact solutions of coupled nonlinear Schrōdinger equations with time-space modulation

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 nonli...

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Bibliographic Details
Published in:Chinese physics B 2013-11, Vol.22 (11), p.197-203
Main Author: 陈俊超 李彪 陈勇
Format: Article
Language:English
Subjects:
Exact solutions
Joining
Mathematical analysis
Mathematical models
Modulation
Nonlinearity
Schroedinger equation
Wave propagation
动力非线性
时空
稳定性分析
精确解
薛定谔方程
调制
非线性动力学方程
非线性耦合
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Summary: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.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/11/110306