Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/68473
Type: Artigo
Title: Group classification and conservation laws for a two-dimensional generalized Kuramoto-Sivashinsky equation
Author: Bozhokov, 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.
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 a
Subject: Anisotropia
Auto-adjunticidade não-linear
Leis de conservação (Matemática)
Equações diferenciais parciais
Country: Reino Unido
Editor: Elsevier
Citation: Nonlinear Analysis-theory Methods & Applications. Pergamon-elsevier Science Ltd, v. 84, n. 117, n. 135, 2013.
Rights: Aberto
Identifier DOI: 10.1016/j.na.2013.02.010
Address: https://www.sciencedirect.com/science/article/pii/S0362546X13000552
Date Issue: 2013
Appears in Collections:IMECC - Artigos e Outros Documentos

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