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PHYSICAL REVIEW A 84, 043834 (2011) Dispersion of nonlinear group velocity determines shortest envelope solitons
 

Summary: PHYSICAL REVIEW A 84, 043834 (2011)
Dispersion of nonlinear group velocity determines shortest envelope solitons
Sh. Amiranashvili and U. Bandelow
Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstraße 39, D-10117 Berlin, Germany
N. Akhmediev
Optical Sciences Group, Research School of Physics and Engineering, Institute of Advanced Studies, The Australian National University,
Canberra ACT 0200, Australia
(Received 10 August 2011; published 20 October 2011)
We demonstrate that a generalized nonlinear Schr¨odinger equation (NSE), which includes dispersion of the
intensity-dependent group velocity, allows for exact solitary solutions. In the limit of a long pulse duration, these
solutions naturally converge to a fundamental soliton of the standard NSE. In particular, the peak pulse intensity
times squared pulse duration is constant. For short durations, this scaling gets violated and a cusp of the envelope
may be formed. The limiting singular solution determines then the shortest possible pulse duration and the largest
possible peak power. We obtain these parameters explicitly in terms of the parameters of the generalized NSE.
DOI: 10.1103/PhysRevA.84.043834 PACS number(s): 42.65.Tg, 05.45.Yv, 42.81.Dp
I. INTRODUCTION
Optical solitons are waves localized either in space or
time that are formed as a result of the interplay between
nonlinearity and dispersion [1,2]. A typical soliton, e.g., in
an optical fiber, is often described by its complex envelope

  

Source: Akhmediev, Nail - Research School of Physical Sciences and Engineering, Australian National University
Australian National University, Research School of Physical Sciences and Engineering, Optical Sciences Group

 

Collections: Engineering; Physics