Exact meromorphic stationary solutions of the real cubic Swift-Hohenberg equation

Details Exact meromorphic stationary solutions of the real cubic Swift-Hohenberg equation Exact meromorphic stationary solutions of the real cubic Swift-Hohenberg equation

2012-02-16

arxiv.org/abs/1202.3579v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

15 pages, 3 figures, to appear, Studies in Applied Mathematics

Scientific paper

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.

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