The authors claim a soliton resolution formula with O(t^{-3/4}) error for the spin-1 Gross-Pitaevskii equation, though the stationary-region bound is only proven at the older O(log t/t) accuracy.
Nonlin- earity 26(7), 2081-2107 (2013)
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On soliton resolution to Cauchy problem of the spin-1 Gross-Pitaevskii equation
The authors claim a soliton resolution formula with O(t^{-3/4}) error for the spin-1 Gross-Pitaevskii equation, though the stationary-region bound is only proven at the older O(log t/t) accuracy.