Some blow-up and smooth solutions about Landau-Lifshitz equation and their spatial curvature behavior (Q1954422)
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scientific article; zbMATH DE number 6172983
| Language | Label | Description | Also known as |
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| English | Some blow-up and smooth solutions about Landau-Lifshitz equation and their spatial curvature behavior |
scientific article; zbMATH DE number 6172983 |
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Some blow-up and smooth solutions about Landau-Lifshitz equation and their spatial curvature behavior (English)
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11 June 2013
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Summary: We construct the exact solution of \((2 + 1)\)-dimensional space-time Landau-Lifshitz equation (LLE) without the Gilbert term. Under suitable transformations, some exact solutions are obtained in the radially symmetric coordinates and nonsymmetric coordinates. The type of solutions cover the finite-time blow-up solution, smooth solution in time and vortex solution. At the end, some properties about these solutions and their spatial curvature are illustrated by the graphs.
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\((2 + 1)\)-dimensional space-time Landau-Lifshitz equation
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finite-time blow-up solution
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