A multisymplectic variational integrator for the nonlinear Schrödinger equation
A multisymplectic variational integrator for the nonlinear Schrödinger equation
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DOI：
10.1002/num.10021
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发表时间：
2002-07
影响因子：
3.9
通讯作者：
Jing‐Bo Chen;M. Qin
中科院分区：
文献类型：
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作者：
Jing‐Bo Chen;M. Qin
给出了非线性薛定谔方程的多辛结构。基于多辛结构，我们从离散变分原理导出了一个九点变分积分器，从Preissman多辛格式导出了一个六点多辛积分器.我们证明了这两个积分器本质上是等价的。因此，我们称之为多辛变分积分。© 2002 Wiley Periodicals，Inc. Numer Methods Partial Differential Eq 18：523-536，2002;在线发表于Wiley InterScience（www.interscience.wiley.com）。DOI 10.1002/编号10021
The multisymplectic structure for the nonlinear Schrödinger equation is presented. Based on the multisymplectic structure, we derive a nine‐point variational integrator from the discrete variational principle and a six‐point multisymplectic integrator from the Preissman multisymplectic scheme. We show that the two integrators are essentially equivalent. Therefore, we call it a multisymplectic variational integrator. © 2002 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 18: 523–536, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/num.10021