Tzitzeica theory - Opportunity for reflection in Mathematics

被引：0
|
作者：
Udriste, Constantin [1 ]
机构：
[1] Univ Politehn Bucuresti, Dept Math, Bucharest 060042, Romania
来源：
BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS | 2005年 / 10卷 / 01期
关键词：
Tzitzeica PDEs; symmetry groups; Tzitzeica Lagrangian; Tzitzeica geometric dynamics;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our aim is to emphasize the topical interest, richness and vitality of Tzitzeica theory. Rather than aspiring to a comprehensive treatise, this Note contains the mathematical discussion of only those topics which are in connection with our concerns. That is why, we have in view four aspects : to recall the symmetry groups associated to Tzitzeica PDEs; to emphasize again that the Tzitzeica PDEs are Euler-Lagrange equations; to reveal some physical roots of Tzitzeica theory; to underline new properties of Tzitzeica PDEs and their connection to Painleve ODEs.
引用
收藏
页码：110 / 120
页数：11
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