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Group analysis of the Novikov equation
Blekinge Tekniska Högskola, Fakulteten för teknikvetenskaper, Institutionen för matematik och naturvetenskap.
2014 (engelsk)Inngår i: Computational and Applied Mathematics, ISSN 2238-3603, E-ISSN 1807-0302, Vol. 33, nr 1, s. 193-202Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We find the Lie point symmetries of the Novikov equation and demonstrate that it is strictly self-adjoint. Using the self-adjointness and the recent technique for constructing conserved vectors associated with symmetries of differential equations, we find the conservation law corresponding to the dilation symmetry and show that other symmetries do not provide nontrivial conservation laws. Then we investigate the invariant solutions.

sted, utgiver, år, opplag, sider
Springer , 2014. Vol. 33, nr 1, s. 193-202
Emneord [en]
Novikov equation, Lie symmetries, Strictly self-adjointness, Conservation laws, Invariant solutions
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Identifikatorer
URN: urn:nbn:se:bth-6703DOI: 10.1007/s40314-013-0055-1ISI: 000334173900013Lokal ID: oai:bth.se:forskinfo4016BE042A0C7931C1257CDD0049F854OAI: oai:DiVA.org:bth-6703DiVA, id: diva2:834235
Tilgjengelig fra: 2014-05-19 Laget: 2014-05-19 Sist oppdatert: 2017-12-04bibliografisk kontrollert

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