Differential invariants of nonlinear equations vtt=f(x,vx)vxx+g(x,vx)

✍ Scribed by N.H Ibragimov; M Torrisi; A Valenti

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 213 KB
• Volume: 9
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2003.09.001

✦ Synopsis

We assumed in Theorem 2 that l 1 6 ¼ 0, where l 1 is the expression defined by Eq. ( 77). If l 1 ¼ 0, the corresponding Eq. ( 8) should be considered separately. Furthermore, the cases l 2 ¼ 0 and l 3 ¼ 0 (see Eqs. ( 78) and ( 79)) are also exceptional because of the following lemma: q