Exact Solutions of Discrete Complex Cubic Ginzburg-LandauEquation and Their Linear Stability |
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| Authors: | ZHANG Jin-Liang and LIU Zhi-Guo |
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| Affiliation: | School of Mathematics and Statistics, Henan University of Science and Techonology, Luoyang 471003，China |
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| Abstract: | The discrete complex cubic Ginzburg-Landau equation is an important model to describe a number of physical systems such as Taylor and frustrated vortices in hydrodynamics and semiconductor laser arrays in optics. In this paper, the exact solutions of the discrete complex cubic Ginzburg-Landau equation are derived using homogeneous balance principle and the G' / G-expansion method, and the linear stability of exact solutions is discussed. |
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| Keywords: | discrete complex cubic Ginzburg-Landau equation homogeneous balance principle G' / G-expansion method exact solution linear stability |
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