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中文摘要：
基于Hamilton变分原理，构造了微扰Landau-Ginzburg—Higgs方程的一阶广义多辛对称形式，随后对该形式采用多辛差分离散构造其保结构离散格式，最后通过计算机模拟，研究了微扰对Lan—dau—Ginzburg—Higgs方程孤子解的影响，为微扰动力学系统的数值研究提供了新的途径。
英文摘要：
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 per- turbed Landau-Ginzburg-Higgs equation. The core of section 2 is that we construct the structure-preserving differ- ence scheme eq. （5） for the generalized muhi-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 muhi-symplec- tic 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.
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