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.