Variational symmetries of Lagrangian systems with second-order derivatives

被引：1

作者：

Coban, Ege ^{[1
]}

Gahramanov, Ilmar ^{[1
,2
,3
]}

Kosva, Dilara ^{[1
]}

机构：

[1] Bogazici Univ, Dept Phys, TR-34342 Istanbul, Turkiye

[2] Azerbaijan Natl Acad Sci, Inst Radiat Problems, BVahabzade St 9, Baku 1143, Azerbaijan

[3] Khazar Univ, Dept Math, Mehseti St 41, Baku 1096, Azerbaijan

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2023年 / 138卷 / 07期

关键词：

D O I：

10.1140/epjp/s13360-023-04241-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss an elementary derivation of variational symmetries and corresponding integrals of motion for the Lagrangian systems depending on acceleration. Providing several examples, we make the manuscript accessible to a wide range of readers with an interest in higher-order Lagrangians and symmetries. The discussed technique is also applicable to the Lagrangian systems with higher-order derivatives.

引用

页数：10

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