Optical solitons in presence of Kerr dispersion and self-frequency shift

Porsezian, K. ; Nakkeeran, K. (1996) Optical solitons in presence of Kerr dispersion and self-frequency shift Physical Review Letters, 76 (21). pp. 3955-3958. ISSN 0031-9007

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Official URL: http://prl.aps.org/abstract/PRL/v76/i21/p3955_1

Related URL: http://dx.doi.org/10.1103/PhysRevLett.76.3955

Abstract

We consider the higher order nonlinear Schrödinger (HNLS) equation describing nonlinear wave propagation in light guides with all higher order effects such as higher order dispersion, Kerr dispersion, and stimulated inelastic scattering. Using the Painlevé analysis, we derive all parametric conditions for soliton-type pulse propagation in HNLS fiber system. We generalize the Ablowitz-Kaup-Newell-Segur method to the 3×3 eigenvalue problem, and constructed the Lax pair for the integrable case. The one soliton solution is generated from a Bäcklund transformation and an exact N-soliton solution is explicitly obtained from the Hirota bilinearization. The significance of the soliton solution is discussed.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:83897
Deposited On:23 Feb 2012 07:22
Last Modified:23 Feb 2012 07:22

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