Euler‐Lagrange Equation in Free Coordinates

Euler‐Lagrange Equation in Free Coordinates

In this paper, we introduce different equivalent formulations of variational principle. The language of differential forms and manifold has been utilized to deduce Euler–Lagrange equations in free coordinates. Thus, the expression is simple and global.

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Veröffentlicht in:Journal of mathematics (Hidawi) 2022-01, Vol.2022 (1)
Hauptverfasser: Alotaibi, Mastourah M., Altoum, Sami H.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Calculus
Differential equations
Euler-Lagrange equation
Geometry
Mathematical functions
Mathematics
Ordinary differential equations
Symmetry
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Beschreibung
Zusammenfassung:In this paper, we introduce different equivalent formulations of variational principle. The language of differential forms and manifold has been utilized to deduce Euler–Lagrange equations in free coordinates. Thus, the expression is simple and global.
ISSN:2314-4629
2314-4785
DOI:10.1155/2022/3860704