2+1 维变系数 Burgers 方程的对称性
可精确求解与可积系统
2014-02-13 v4 数学物理
math.MP
摘要
我们考虑一类 2+1 维变系数 Burgers 方程，并利用其等价群给出直至等价关系的完整对称性分类。等价群也被用于挑选出可变换为其常系数形式的最一般方程。无限维对称性被用于将该方程变换为一维方程。
引用
@article{arxiv.1311.0450,
title = {Symmetries of 2+1-dimensional variable coefficient Burgers equations},
author = {F. Güngör and C. Özemir},
journal= {arXiv preprint arXiv:1311.0450},
year = {2014}
}
备注
This paper has been withdrawn due to a substantial change throughout. A revised version has been submitted and published as arXiv:1402.1941