APS » PROLA » Phys. Rev. Lett. » Volume 79 » Issue 21

Phys. Rev. Lett. 79, 4047 - 4051 (1997)

Multisoliton Solutions of the Complex Ginzburg-Landau Equation

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N. N. Akhmediev and A. Ankiewicz
Optical Sciences Centre, The Australian National University, Canberra, ACT 0200, Australia

J. M. Soto-Crespo
Instituto de Óptica, C.S.I.C., Serrano 121, 28006 Madrid, Spain

Received 12 May 1997

We present novel stable solutions which are soliton pairs and trains of the 1D complex Ginzburg-Landau equation (CGLE), and analyze them. We propose that the distance between the pulses and the phase difference between them is defined by energy and momentum balance equations. We present a two-dimensional phase plane (“interaction plane”) for analyzing the stability properties and general dynamics of two-soliton solutions of the CGLE.


©1997 The American Physical Society

URL: http://link.aps.org/abstract/PRL/v79/p4047
DOI: 10.1103/PhysRevLett.79.4047
PACS: 03.40.Kf, 42.65.Tg, 47.20.Ky

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