Classification of Similarity Solutions for Inviscid Burgers’ Equation

被引：0
|
作者：
Mehdi Nadjafikhah
机构：
[1] Iran University of Science and Technology,Faculty of Mathematics
来源：
Advances in Applied Clifford Algebras | 2010年 / 20卷
关键词：
70G65; 58K70; 34C14; Lie-point symmetries; similarity solution; optimal system of Lie sub-algebras;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Using the basic Lie symmetry method, we find the most general Lie point symmetries group of the inviscid Burgers’ equation. Looking at the adjoint representation of the obtained symmetry group on its Lie algebra, we find the preliminary classification of its group-invariant solutions. The latter provides new exact solutions for the inviscid Burgers’ equation.
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页码：71 / 77
页数：6
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