Analytical Solution for Nonlinear Schrödinger Vortex Reconnection
Analytical Solution for Nonlinear Schrödinger Vortex Reconnection
复制标题
非线性薛定谔涡重联的解析解
DOI：
10.1023/a:1023719007403
复制
发表时间：
2003
影响因子：
2
通讯作者：
R. West
中科院分区：
文献类型：
--
作者：
S. Nazarenko;R. West
用坐标时间幂级数分析了非线性薛定谔涡旋重联。这些级数中的最低阶项对应于线性薛定谔方程的解，并提供了重联过程的几个有趣的性质，特别是重联的非奇异性，涡丝的反平行结构和重联前后的平方根定律。完全无穷幂级数表示包含重联点的有限体积中的完全非线性解析解，并且对于有限时间有效，前提是初始条件是解析函数。这些系列的解决方案是免费的周期性文物和离散化误差的直接计算方法，他们很容易使用计算机代数程序进行分析。
Analysis of the nonlinear Schrödinger vortex reconnection is given in terms of coordinate-time power series. The lowest order terms in these series correspond to a solution of the linear Schrödinger equation and provide several interesting properties of the reconnection process, in particular the nonsingular character of reconnections, the anti-parallel configuration of vortex filaments and a square-root law of approach just before/after reconnections. The complete infinite power series represents a fully nonlinear analytic solution in a finite volume which includes the reconnection point, and is valid for finite time provided the initial condition is an analytic function. These series solutions are free from the periodicity artifacts and discretization error of the direct computational approaches and they are easy to analyze using a computer algebra program.