Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
766739 | Communications in Nonlinear Science and Numerical Simulation | 2014 | 11 Pages |
Abstract
In this paper we consider a class of evolution equations up to fifth-order containing many arbitrary smooth functions from the point of view of nonlinear self-adjointness. The studied class includes many important equations modeling different phenomena. In particular, some of the considered equations were studied previously by other researchers from the point of view of quasi self-adjointness or strictly self-adjointness. Therefore we find new local conservation laws for these equations invoking the obtained results on nonlinearly self-adjointness and the conservation theorem proposed by Nail Ibragimov.
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Mechanical Engineering
Authors
Igor Leite Freire, Júlio Cesar Santos Sampaio,