Exact solutions of the one-dimensional modified complex Ginzburg-Landau equation

The one-dimensional modified complex Ginzburg-Landau (MCGL) equation ipsi(t) + ppsi(xx) + q\psi\(2)psi = c psi(x)psi*(x)/psi* + ddel(2)[(psipsi*)(1/2)](psi/psi*)(1/2) + igammapsi is studied using a method derived from the Painleve test for integrability and Hirota's bilinear formalism. Exact solutions are expressed in terms of pulses, periodic unbounded waves, fronts, sources and sinks. The degeneracies of the MCGL equation have been examined as well as several of their solutions. (C) 2002 Published by Elsevier Science Ltd.