4.7 Article

A Lie symmetry approach to nonlinear Schrodinger's equation with non-Kerr law nonlinearity

Journal

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2009.02.024

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Funding

  1. NSF-CREST [HRD-0630388]
  2. Army Research Office (ARO)
  3. Air Force office of Scientific Research (AFOSR) [W54428-RT-ISP]

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This paper obtains the stationary 1-soliton solution of the nonlinear Schrodinger's equation in non-Kerr law media. The types of nonlinearity that are considered are Kerr law, power law, parabolic law and the dual-power law. The technique that is used to carry out the integration of this equation is the Lie symmetry analysis. (C) 2009 Elsevier B.V. All rights reserved.

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