Exact meromorphic stationary solutions of the real cubic Swift-Hohenberg equation
arXiv:1202.3579 · doi:10.1111/j.1467-9590.2012.00546.x
Abstract
We show that all meromorphic solutions of the stationary reduction of the real cubic Swift-Hohenberg equation are elliptic or degenerate elliptic. We then obtain them all explicitly by the subequation method, and one of them appears to be a new elliptic solution.
15 pages, 3 figures, to appear, Studies in Applied Mathematics