A Study of the Direct Spectral Transform for the Defocusing Davey‐Stewartson II Equation the Semiclassical Limit
A Study of the Direct Spectral Transform for the Defocusing Davey‐Stewartson II Equation the Semiclassical Limit
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散焦Davey-Stewartson II方程半经典极限的直接谱变换研究
DOI：
10.1002/cpa.21822
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发表时间：
2017
影响因子：
3
通讯作者：
P. Miller
中科院分区：
文献类型：
--
作者：
O. Assainova;C. Klein;K. Mclaughlin;P. Miller
散焦的Davey-Stewartson II方程在数值实验中表现出与其一维约化的半经典极限--散焦非线性薛定谔方程性质相似的行为，即从光滑的初始数据产生占据时空区域的规则的快速振荡，并在该极限中得到明确的定义。
The defocusing Davey‐Stewartson II equation has been shown in numerical experiments to exhibit behavior in the semiclassical limit that qualitatively resembles that of its one‐dimensional reduction, the defocusing nonlinear Schrödinger equation, namely the generation from smooth initial data of regular rapid oscillations occupying domains of space‐time that become well‐defined in the limit.