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arxiv: 1202.3579 · v1 · pith:C2O262YEnew · submitted 2012-02-16 · 🌊 nlin.SI · math.CA

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

classification 🌊 nlin.SI math.CA
keywords ellipticcubicequationmeromorphicrealsolutionsstationaryswift-hohenberg
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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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