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Bright and dark solitons in metamaterials obtained by extended F-expansion method

Zhuang Bin-Xian Guo Jun Xiang Yuan-Jiang Dai Xiao-Yu Wen Shuang-Chun

Bright and dark solitons in metamaterials obtained by extended F-expansion method

Zhuang Bin-Xian, Guo Jun, Xiang Yuan-Jiang, Dai Xiao-Yu, Wen Shuang-Chun
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Publishing process
  • Received Date:  09 July 2012
  • Accepted Date:  16 October 2012
  • Published Online:  05 March 2013

Bright and dark solitons in metamaterials obtained by extended F-expansion method

  • 1. Key Laboratory for Micro-/Nano-Optoelectronic Devices of Ministry of Education, College of Information Science and Engineering, Hunan University, Changsha 410082, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 10974049).

Abstract: The ultra-short pulse equation in a metamaterial is solved by the extended F-expansion method. The new phenomena and characteristics of solitons, caused by the anomalous self-steepening effect and the second-order nonlinear dispersion in metamaterials, are discussed. The results show that the second-order nonlinear dispersion in the positive-index region may take the place of the linear dispersion to form the bright and dark solitons. Due to the switchable sign of the anomalous self-steepening effect in the positive-index and negative-index regions, the bright and dark solitons separately exist in the anomalous and normal dispersion regions under some specific conditions. The moving directions of the centers of bright and dark solitons can be controlled by the sign of the anomalous self-steepening effect or by the combination of the anomalous self-steepening effect and third-order linear dispersion.

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