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Differential invariants of nonlinear equations v_{tt} =f(x,v_x) v_{xx} + g(x,v_x)
Ansvarlig organisasjon
2004 (engelsk)Inngår i: Communications in nonlinear science & numerical simulation, ISSN 1007-5704, E-ISSN 1878-7274, Vol. 9, nr 1, s. 69-80Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
The Netherlands: Elsevier , 2004. Vol. 9, nr 1, s. 69-80
Emneord [en]
Differential equations, Lie group analysis, differential invariants
HSV kategori
Identifikatorer
URN: urn:nbn:se:bth-8857Lokal ID: oai:bth.se:forskinfoD9B1F5AB0E89AC1AC12573BE00388042OAI: oai:DiVA.org:bth-8857DiVA, id: diva2:836612
Merknad

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

Tilgjengelig fra: 2012-09-18 Laget: 2007-12-27 Sist oppdatert: 2017-12-04bibliografisk kontrollert

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Ibragimov, Nail H.

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Communications in nonlinear science & numerical simulation

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