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Exact Combined Solitary Wave Solutions in Nonlinear Metamaterials
YANG Rongcao 1 *,ZHANG Yu 2
1.College of physics & Electronics Engineering, Shanxi University
2.College of physics & Electronics Engineering, Shanxi University, TaiYuan 030006
*Correspondence author
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Funding: This work is supported by the National Natural Science Foundation of China （No.No. 60878008,60771052), the New Teacher Foundation of Ministry of Education of China）
Opened online:30 September 2010
Accepted by: none
Citation: YANG Rongcao,ZHANG Yu.Exact Combined Solitary Wave Solutions in Nonlinear Metamaterials[OL]. [30 September 2010] http://en.paper.edu.cn/en_releasepaper/content/4386611
 
 
In this paper, we consider the generalized nonlinear Schr?dinger equation describing the propagation of ultrashort pulses in nonlinear metamaterials and find exact combined solitary wave solutions describing the simultaneous propagation of bright and dark solitary waves in a combined form. Based on the Drude model, we discuss the existence conditions and the properties of the combined solitary waves. Furthermore, we analytically and numerically investigate the stability of the combined solitary waves under limited perturbations. The results show that bright and dark solitary waves may combine together under certain conditions and propagate stably with a proper form in metamaterials.
Keywords:combined solitary waves; nonlinear metamaterials; stability
 
 
 

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