Structure-preserving analysis of perturbed Landau-Ginzburg-Higgs equation

Weipeng Hu, Yu Zhang, Zichen Deng

科研成果: 期刊稿件文章同行评审

1 引用 (Scopus)

摘要

Aim. Perturbation effect, one of the important essential attributes of practical physical and mechanical systems, should be reappeared in the structure-preserving analysis process. We now propose the generalized multi-symplectic method to study the perturbation effect of the perturbed Landau-Ginzburg-Higgs equation based on the developing theory of multi-symplecticity. Sections 1 through 3 of the full paper explain our explorative research in some detail. The core of section 1 is that we derive eq. (4) as the generalized multi-symplectic form for the perturbed Landau-Ginzburg-Higgs equation. The core of section 2 is that we construct the structure-preserving difference scheme eq. (5) for the generalized multi-symplectic form eq. (4). The core of section 3 is that we analyze the perturbation effect of the perturbed Landau-Ginzburg-Higgs equation system with the generalized multi-symplectic method. The results of this paper and their analysis appear to allow studying in a new way the nonconservative type geometric properties of the Hamilton system.

源语言英语
页(从-至)957-960
页数4
期刊Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University
30
6
出版状态已出版 - 12月 2012

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