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Type: Artigo de periódico
Title: On the nonlinear self-adjointness and local conservation laws for a class of evolution equations unifying many models
Author: Freire, IL
Sampaio, JCS
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. (c) 2013 Elsevier B.V. All rights reserved.
Subject: Ibragimov theorem
Nonlinearly self-adjoint equations
Conservation laws
Evolution equations
Country: Holanda
Editor: Elsevier Science Bv
Rights: fechado
Identifier DOI: 10.1016/j.cnsns.2013.06.010
Date Issue: 2014
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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