Lie symmetry of the Landau-Lifshitz-Gilbert equation and exact linearization in the Minkowski space (Q1881542)
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scientific article; zbMATH DE number 2106462
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lie symmetry of the Landau-Lifshitz-Gilbert equation and exact linearization in the Minkowski space |
scientific article; zbMATH DE number 2106462 |
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Lie symmetry of the Landau-Lifshitz-Gilbert equation and exact linearization in the Minkowski space (English)
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5 October 2004
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A linearized Landau-Lifshitz-Gilbert equation is proved to admit a superposition principle using Lie's theorem on superposition. Moreover, a superposition formula is deduced. Furthermore, the inherent symmetries of the Landau-Lifshitz-Gilbert equation are investigated. Numerical procedures based on the group preserving scheme are explored which will be of interest in applications.
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Landau-Lifshitz-Gilbert equation
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Lie symmetry
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0.89644957
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0.8950421
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0.8845661
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0.8842567
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0.8841324
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0.8793304
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0.8783107
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