%0 Journal Article %T Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation %A Robert Conte %A Tuen-Wai Ng %J Physics %D 2012 %I arXiv %R 10.1007/s10440-012-9734-y %X We look for singlevalued solutions of the squared modulus M of the traveling wave reduction of the complex cubic-quintic Ginzburg-Landau equation. Using Clunie's lemma, we first prove that any meromorphic solution M is necessarily elliptic or degenerate elliptic. We then give the two canonical decompositions of the new elliptic solution recently obtained by the subequation method. %U http://arxiv.org/abs/1204.3032v1