Multisoliton Solutions of the Complex Ginzburg-Landau Equation

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Authors

Nail Akhmediev · Australian National University

Adrian Ankiewicz · Australian National University

J. M. Soto‐Crespo · Instituto de Óptica "Daza de Valdés"

Abstract

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.

Topics & Keywords

Nonlinear Dynamics and Pattern Formation Nonlinear Photonic Systems Advanced Fiber Laser Technologies

UN Sustainable Development Goals

Affordable and clean energy

Publication Details

Published in: Physical Review Letters

Volume 79, Issue 21, pp. 4047-4051

DOI: 10.1103/physrevlett.79.4047

Field-Weighted Citation Impact: 3.55