On elliptic solutions of the cubic complex one-dimensional Ginzburg-Landau equation
Vernov, S. Yu.
arXiv, 0503009 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-03-06
Classification:  Nonlinear Sciences - Pattern Formation and Solitons,  Condensed Matter - Other Condensed Matter,  High Energy Physics - Theory,  Mathematical Physics 
@article{0503009,
     author = {Vernov, S. Yu.},
     title = {On elliptic solutions of the cubic complex one-dimensional
  Ginzburg-Landau equation},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0503009}
}

Vernov, S. Yu. On elliptic solutions of the cubic complex one-dimensional
  Ginzburg-Landau equation. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0503009/