Group classification and conservation laws for a two-dimensional generalized Kuramoto-Sivashinsky equation
Y. Bozhokov, S. Dimas
ARTIGO
Inglês
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...
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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.
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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
FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULO - FAPESP
2011/05855-9
CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO - CNPQ
Aberto
Group classification and conservation laws for a two-dimensional generalized Kuramoto-Sivashinsky equation
Y. Bozhokov, S. Dimas
Group classification and conservation laws for a two-dimensional generalized Kuramoto-Sivashinsky equation
Y. Bozhokov, S. Dimas
Fontes
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Nonlinear analysis: theory, methods & applications (Fonte avulsa) |