Equivalence transformations applied to exterior calculus approach for finding symmetries: An example of non-Newtonian fluid flow

---

Pakdemirli M., Yürüsoy M.

International Journal of Engineering Science, vol.37, no.1, pp.25-32, 1999 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 37 Issue: 1
• Publication Date: 1999
• Doi Number: 10.1016/s0020-7225(98)00028-7
• Journal Name: International Journal of Engineering Science
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.25-32
• Manisa Celal Bayar University Affiliated: Yes

Abstract

The exterior differential form approach for finding Lie-Point symmetries of differential equations is extended by implementing equivalence transformations to the formalism. The implementation is shown on a previously worked example of non-Newtonian fluid flow. Group classification of the equations are performed using this method. © 1998 Elsevier Science Ltd. All rights reserved.