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

Weipeng Hu, Yu Zhang, Zichen Deng

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)957-960
Number of pages4
JournalXibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University
Volume30
Issue number6
StatePublished - Dec 2012

Keywords

  • Finite difference method
  • Generalized multi-symplectic
  • Hamiltonians
  • Perturbed Landau-Ginzburg-Higgs equation
  • Solitons
  • Structure-preserving

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