Geometric Algorithm of Schr\"odinger Flow on a Sphere
classification
🧮 math.DG
nlin.SI
keywords
algorithmcauchyflowgeometricodingerperiodicproblemschr
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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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