Year: 2014
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 1 : pp. 108–119
Abstract
In this paper, we study an ODE of the form$$b_0 u^{(4)} + b_1 u'' + b_2 u + b_3 u^3 + b_4 u^5 = 0, \ ' = \frac{d}{d z},$$ which includes, as a special case, the stationary case of the cubic-quintic Swift-Hohenberg equation. Based on Nevanlinna theory and Painlevé analysis, we first show that all its meromorphic solutions are elliptic or degenerate elliptic. Then we obtain them all explicitly by the method introduced in [7].
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2014.v30.n1.7
Analysis in Theory and Applications, Vol. 30 (2014), Iss. 1 : pp. 108–119
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Meromorphic solutions Cubic-Quintic Swift-Hohenberg equation Nevanlinna theory.
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