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Journal of Modern Optics Volume 59, 2012 - Issue 3
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Original Articles

Dispersive optical solitons by the semi-inverse variational principle

Anjan Biswas Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA; Center for Research and Education in Optical Sciences and Applications, Delaware State University, Dover, DE 19901-2277, USACorrespondence[email protected]
,
Stephen Johnson Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA; Center for Research and Education in Optical Sciences and Applications, Delaware State University, Dover, DE 19901-2277, USA
,
Megan Fessak Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA; Center for Research and Education in Optical Sciences and Applications, Delaware State University, Dover, DE 19901-2277, USA
,
Beatrice Siercke Center for Research and Education in Optical Sciences and Applications, Delaware State University, Dover, DE 19901-2277, USA
,
Essaid Zerrad Department of Physics & Pre-Engineering, Delaware State University, Dover, DE 19901-2277, USA
&
Swapan Konar Department of Applied Physics, Birla Institute of Technology, Mesra, Ranchi-835215, India
Pages 213-217 | Received 18 Aug 2011, Accepted 30 Aug 2011, Published online: 21 Oct 2011
 
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Abstract

In this paper an analytical expression for an optical soliton is obtained with the aid of He's semi-inverse variational principle in the presence of third- and fourth-order dispersion as well as inter-modal dispersion. Three laws of nonlinear media are considered in this paper: the Kerr law, the power law and the log law.

Acknowledgements

The research work of the first and fifth authors (AB&EZ) was supported by Army Research Office (ARO) and Air Force Office of Scientific Research (AFOSR) under the award number: W54428-RT-ISP and this support is gratefully recognized. Additionally, the research work of the first (AB), second (SJ), third (MF) and fourth (BS) authors was supported by NSF-CREST Grant No. HRD-0630388 and this support is genuinely and sincerely appreciated.

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