@Article{ATA-30-108,
author = {C. F. Wu},
title = {Exact Meromorphic Stationary Solutions of the Cubic-Quintic Swift-Hohenberg Equation},
journal = {Analysis in Theory and Applications},
year = {2014},
volume = {30},
number = {1},
pages = {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 Painlev\'{e} 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].},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2014.v30.n1.7},
url = {http://global-sci.org/intro/article_detail/ata/4476.html}
}