Comparison of Noether Symmetries and First Integrals of Two-Dimensional Systems of Second Order Ordinary Differential Equations by Real and Complex Methods

被引：2

作者：

Safdar, Muhammad ^{[1
]}

Qadir, Asghar ^{[2
]}

Farooq, Muhammad Umar ^{[3
]}

机构：

[1] Natl Univ Sci & Technol, SMME, Campus H-12, Islamabad 44000, Pakistan

[2] Natl Univ Sci & Technol, SNS, Campus H-12, Islamabad 44000, Pakistan

[3] Natl Univ Sci & Technol, Dept Basic Sci & Humanities, Coll E & ME, H-12, Islamabad 44000, Pakistan

来源：

SYMMETRY-BASEL | 2019年 / 11卷 / 09期

关键词：

systems of ODEs; Noether operators; Noether symmetries; first integrals;

D O I：

10.3390/sym11091180

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Noether symmetries and first integrals of a class of two-dimensional systems of second order ordinary differential equations (ODEs) are investigated using real and complex methods. We show that first integrals of systems of two second order ODEs derived by the complex Noether approach cannot be obtained by the real methods. Furthermore, it is proved that a complex method can be extended to larger systems and higher order.

引用

页码：1 / 12

页数：12

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