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 |
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页(从-至) | 957-960 |
页数 | 4 |
期刊 | Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University |
卷 | 30 |
期 | 6 |
出版状态 | 已出版 - 12月 2012 |