Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/68473
Type: Artigo de periódico
Title: Group classification and conservation laws for a two-dimensional generalized Kuramoto-Sivashinsky equation
Author: Bozhkov, Y
Dimas, S
Abstract: The two-dimensional anisotropic Kuramoto-Sivashinsky equation is a fourth-order nonlinear evolution equation in two spatial dimensions that arises in sputter erosion and epitaxial growth on vicinal surfaces. A generalization of this equation is proposed and studied via group analysis methods. The complete group classification of this generalized Kuramoto-Sivashinsky equation is carried out; it is classified according to the property of the self-adjointness and the corresponding conservation laws are established. (C) 2013 Elsevier Ltd. All rights reserved.
Subject: Anisotropic Kuramoto-Sivashinsky equation
Nonlinear self-adjointness
Group classification
Conservation laws
Computer algebra
Country: Inglaterra
Editor: Pergamon-elsevier Science Ltd
Rights: fechado
Identifier DOI: 10.1016/j.na.2013.02.010
Date Issue: 2013
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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