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- W3048838063 abstract "Null Lagrangians and their gauge functions are derived for given standard and non-standard Lagrangians. The obtained standard null Lagrangians generalize those previously found but the non-standard null Lagrangians are new. The gauge functions are used to make the action invariant and introduce the exact null Lagrangians, which form a new family of null Lagrangians. The conditions required for the action to be invariant are derived for all null Lagrangians presented in this paper, thus, making them exact. As a specific application, the exact null Lagrangians are derived for a second-order ordinary differential equation. The application shows that the exact null Lagrangians can be obtained for any ordinary differential equation with known Lagrangian." @default.
- W3048838063 created "2020-08-18" @default.
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- W3048838063 date "2020-08-12" @default.
- W3048838063 modified "2023-09-25" @default.
- W3048838063 title "Null Lagrangians and Invariance of Action: Exact Gauge Functions" @default.
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- W3048838063 doi "https://doi.org/10.48550/arxiv.2008.05562" @default.
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