The difference between Schrödinger equation derived from Schrödinger map and Landau-Lifshitz equation |
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| Authors: | Ganshan Yang |
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| Institution: | a Institute of Mathematics, Yunnan Normal University, Kunming 650092, China
b Department of Mathematics, Yunnan Nationalities University, Kunming 650031, China |
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| Abstract: | We provide an explicit blow up solution of Schrödinger equation derived from Schrödinger map. Consequently we show the non-equivalence between the Schrödinger equation and Landau-Lifshitz equation. We also find that two class of equivariant solutions of Landau-Lifshitz equation are static. |
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| Keywords: | Two-dimensional Landau-Lifshitz equation Spherical harmonic map Blow up |
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