On approximate symmetries of a wave equation with quadratic non-linearity

---

Pakdemirli M., Yurusoy M.

Mathematical and Computational Applications, vol.5, no.3, pp.179-184, 2000 (Scopus, TRDizin)

• Publication Type: Article / Article
• Volume: 5 Issue: 3
• Publication Date: 2000
• Doi Number: 10.3390/mca5020179
• Journal Name: Mathematical and Computational Applications
• Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
• Page Numbers: pp.179-184
• Manisa Celal Bayar University Affiliated: Yes

Abstract

Two different approximate symmetry methods and a proposed new one are contrasted using a wave equation with quadratic non-linearity. For each method, the approximate symmetries are calculated first. Then approximate solutions corresponding to some of the symmetries are calculated. It is found that a given specific approximate solution is attainable only by using the new proposed method.