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Differential invariants of nonlinear equations v_{tt} =f(x,v_x) v_{xx} + g(x,v_x)
Responsible organisation
2004 (English)In: Communications in nonlinear science & numerical simulation, ISSN 1007-5704, E-ISSN 1878-7274, Vol. 9, no 1, 69-80 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
The Netherlands: Elsevier , 2004. Vol. 9, no 1, 69-80 p.
Keyword [en]
Differential equations, Lie group analysis, differential invariants
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:bth-8857Local ID: oai:bth.se:forskinfoD9B1F5AB0E89AC1AC12573BE00388042OAI: oai:DiVA.org:bth-8857DiVA: diva2:836612
Note

Full text: http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6X3D-48B5FXK-1&_user=6 44585&_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=6445 85&md5=985355b8ae8049576a5190ec3737bd51

Available from: 2012-09-18 Created: 2007-12-27 Last updated: 2017-03-14Bibliographically approved

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Ibragimov, Nail H.
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