Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation

Details Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation

2012-04-13

arxiv.org/abs/1204.3032v1

Mathematics

Classical Analysis and ODEs

14 pages, no figure, to appear, Acta Applicandae Mathematicae

Scientific paper

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.

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