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.
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页数：10
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