Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation
arXiv:1204.3032 · doi:10.1007/s10440-012-9734-y
Abstract
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.
14 pages, no figure, to appear, Acta Applicandae Mathematicae