Symmetry Classification of Third-Order Nonlinear Evolution Equations. Part I: Semi-simple Algebras

被引：7
作者：
Basarab-Horwath, P. [1 ]
Gungor, F. [2 ]
Lahno, V. [3 ]
机构：
[1] Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden
[2] Dogus Univ, Dept Math, Fac Arts & Sci, TR-34722 Istanbul, Turkey
[3] Pedag Univ, Dept Math, UA-36000 Poltava, Ukraine
来源：
ACTA APPLICANDAE MATHEMATICAE | 2013年 / 124卷 / 01期
基金：
瑞典研究理事会;
关键词：
Symmetries; Lie algebras; Equivalence group; Semi-simple Lie algebras; Solvable Lie algebras; LIE-ALGEBRAS;
D O I：
10.1007/s10440-012-9773-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a complete point-symmetry classification of all third-order evolution equations of the form u (t) =F(t,x,u,u (x) ,u (xx) )u (xxx) +G(t,x,u,u (x) ,u (xx) ) which admit semi-simple symmetry algebras and extensions of these semi-simple Lie algebras by solvable Lie algebras. The methods we employ are extensions and refinements of previous techniques which have been used in such classifications.
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页码：123 / 170
页数：48
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