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Geometric Algorithm of Schrödinger Flow on a Sphere

Published 15 May 2019 in math.DG and nlin.SI | (1905.06013v1)

Abstract: We construct the solution to the periodic Cauchy problem of the Schr\"odinger flow on the sphere. Such construction of solutions is formulated explicitly and therefore a geometric algorithm of solving this periodic Cauchy problem follows. Theoretical and experimental results will be discussed.

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