Abstract
Abstract In this paper, we introduce a first-order low-regularity integrator for the Davey–Stewartson system in the elliptic-elliptic case. It only requires the boundedness of one additional derivative of the solution to be first-order convergent. By rigorous error analysis, we show that the scheme provides first-order accuracy in H γ ( T d ) H^{\gamma}(\mathbb{T}^{d}) for rough initial data in H γ + 1 ( T d ) H^{\gamma+1}(\mathbb{T}^{d}) with γ > d 2 \gamma>\frac{d}{2} .
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