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Group analysis of the Novikov equation

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Autor(es):
Bozhkov, Yuri ; Freire, Igor Leite ; Ibragimov, Nail H.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: COMPUTATIONAL & APPLIED MATHEMATICS; v. 33, n. 1, p. 10-pg., 2014-04-01.
Resumo

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. (AU)

Processo FAPESP: 11/19089-6 - Simetrias de Lie e leis de conservação do sistema de Lane-Emden
Beneficiário:Igor Leite Freire
Modalidade de apoio: Auxílio à Pesquisa - Regular