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arXiv · 1212.6534

Group Classification and Conservation Laws for a two-dimensional Generalized Kuramoto-Sivashinsky Equation

S. Dimas·Y. Bozhkov
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Abstract

The two-dimensional anisotropic Kuramoto-Sivashinsky equation is a forth-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.

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S. Dimas, Y. Bozhkov. 2012-12-28. Group Classification and Conservation Laws for a two-dimensional Generalized Kuramoto-Sivashinsky Equation. https://doi.org/10.1016/j.na.2013.02.010

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