Group Classification and Conservation Laws for a two-dimensional Generalized Kuramoto-Sivashinsky Equation
Analysis of PDEs
2014-04-28 v1
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.
Cite
@article{arxiv.1212.6534,
title = {Group Classification and Conservation Laws for a two-dimensional Generalized Kuramoto-Sivashinsky Equation},
author = {S. Dimas and Y. Bozhkov},
journal= {arXiv preprint arXiv:1212.6534},
year = {2014}
}
Comments
32 pages