Group classification of projective type second-order ordinary differential equations

被引：0
|
作者：
Bagderina Y.Y. [1 ]
机构：
[1] Institute of Mathematics with Computer Center, ul. Chernyshevskogo 112, Ufa
来源：
Journal of Applied and Industrial Mathematics | 2016年 / 10卷 / 1期
关键词：
equivalence; group classification; invariant; symmetry; transformation group;
D O I：
10.1134/S1990478916010051
中图分类号：
学科分类号：
摘要：
Group classification with respect to admitted point transformation groups is carried out for second-order ordinary differential equations with cubic nonlinearity of the first-order derivative. The result is obtained with use of the invariants of the equivalence transformation group of the family of equations under consideration. The corresponding Riemannian metric is found for the equations that are the projection of the system of geodesics to a two-dimensional surface. © 2016, Pleiades Publishing, Ltd.
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页码：37 / 50
页数：13
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