Analysis of a class of potential Korteweg-de Vries-like equations

✍ Scribed by R. M. Edelstein; K. S. Govinder

• Publisher: John Wiley and Sons
• Year: 2009
• Tongue: English
• Weight: 141 KB
• Volume: 33
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.1156

✦ Synopsis

Communicated by J. Banasiak

We analyze a class of third-order evolution equations, i.e. u t = f(x, u x , u xx ) u xxx +g(x, u x , u xx ) via the method of preliminary group classification. This method is a systematic means of analyzing the equation for symmetries. We find explicit forms of f and g, which allow for a larger dimensional Lie algebra of point symmetries.