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arXiv 1202.3579nlin.SImath.CA
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实三次Swift-Hohenberg方程的精确亚纯平稳解

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

Robert Conte, Tuen-Wai Ng, Kwok-Kin Wong

摘要:

证明了实三次Swift-Hohenberg方程的平稳约化的亚纯解是椭圆的或退化椭圆的。然后,我们得到他们都明确的子方程的方法,其中之一似乎是一个新的椭圆解。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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