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Type: Artigo de periódico
Title: Nonlinear Self-adjointness Of A 2d Generalized Second Order Evolution Equation
Author: Bozhkov Y.
Silva K.A.A.
Abstract: We study the nonlinear self-adjointness of a general class of quasilinear 2D second order evolution equations which do not possess variational structure. For this purpose, we use the method of Ibragimov, devised and developed recently. This approach enables one to establish the conservation laws for any differential equation. We first obtain conditions determining the self-adjoint sub-class in the general case. Then, we establish the conservation laws for important particular cases: the Ricci Flow equation, the modified Ricci Flow equation and the nonlinear heat equation. © 2012 Elsevier Ltd. All rights reserved.
Rights: fechado
Identifier DOI: 10.1016/
Date Issue: 2012
Appears in Collections:Unicamp - Artigos e Outros Documentos

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