On elliptic solutions of the cubic complex one-dimensional   Ginzburg-Landau equation
  The cubic complex one-dimensional Ginzburg-Landau equation is considered. Using the Hone's method, based on the use of the Laurent-series solutions and the residue theorem, we have proved that this equation has neither elliptic standing wave nor elliptic travelling wave solutions. This result amplifies the Hone's result, that this equation has no elliptic travelling wave solutions. 
S. Yu. Vernov (Skobeltsyn Institute of Nuclear Physics, Moscow State   University)