Multisoliton Solutions of the Complex Ginzburg-Landau Equation

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.