Exact solutions of the Swift–Hohenberg equation with dispersion

✍ Scribed by Nikolai A. Kudryashov; Dmitry I. Sinelshchikov

• Publisher: Elsevier Science
• Year: 2012
• Tongue: English
• Weight: 302 KB
• Volume: 17
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2011.04.008

✦ Synopsis

The Swift-Hohenberg equation with dispersion is considered. Traveling wave solutions of the Swift-Hohenberg equation with dispersion are presented. The classification of these solutions is given. It is shown that the Swift-Hohenberg equation without dispersion has only stationary meromorphic solution.