Differential invariants of nonlinear equations v_{tt} =f(x,v_x) v_{xx} + g(x,v_x)
| Document type: | Journal Articles |
|---|---|
| Article type: | Original article |
| Peer reviewed: | Yes |
| Author(s): | Nail H. Ibragimov, M. Torrisi, A. Valenti |
| Title: | Differential invariants of nonlinear equations v_{tt} =f(x,v_x) v_{xx} + g(x,v_x) |
| Translated title: | Differential invariants of nonlinear equations v_{tt} =f(x,v_x) v_{xx} + g(x,v_x) |
| Journal: | Communications in Nonlinear Science and Numerical Simulation |
| Year: | 2004 |
| Volume: | 9 |
| Issue: | 1 |
| Pagination: | 69-80 |
| ISSN: | 1007-5704 |
| Publisher: | Elsevier |
| City: | The Netherlands |
| Organization: | Blekinge Institute of Technology |
| Department: | School of Engineering - Dept. Mathematics and Science (Sektionen för teknik – avd. för matematik och naturvetenskap) School of Engineering S- 371 79 Karlskrona +46 455 38 50 00 http://www.tek.bth.se/ |
| Authors e-mail: | nib@bth.se |
| Language: | English |
| Abstract: | We apply the infinitesimal technique for calculating invariants for the family of nonlinear equations formulated in the title. We show that the infinite-dimensional equivalence Lie algebra has three functionally independent differential invariants of the second order. Knowledge of invariants of families of equations is essential for identifying distinctly different equations and therefore for the problem of group classification. |
| Subject: | Mathematics\Analysis |
| Keywords: | Differential equations, Lie group analysis, differential invariants |
| Note: | Full text: http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6X3D-48B5FXK-1&_user=644585&_coverDate=02%2F29%2F2004&_rdoc=1&_fmt=full&_orig=browse&_cdi=7296&_sort=d&_docanchor=&view=c&_ct=1&_acct=C000034638&_version=1&_urlVersion=0&_userid=644585&md5=985355b8ae8049576a5190ec3737bd51 |
