THE BOGOMOLNY DECOMPOSITION FOR SYSTEMS OFTWO GENERALIZED NONLINEAR PARTIAL DIFFERENTIALEQUATIONS OF THE SECOND ORDER

L. STPIEN; D. SOKALSKA; K. SOKALSKI

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THE BOGOMOLNY DECOMPOSITION FOR SYSTEMS OFTWO GENERALIZED NONLINEAR PARTIAL DIFFERENTIALEQUATIONS OF THE SECOND ORDER

机译：二阶两个广义非线性偏微分方程的系统BOGOMOLNY分解

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Using a concept of strong necessary conditions we derive the Bogomolny decomposition for systems of twogeneralized elliptic and parabolic nonlinear partial differential equations (NPDE) of the second order. Thegeneralization means that the equation coefficients depend on the field variables. According to the Cinquini-Cibrario criteria 18-20 the first type is characterized to be an elliptic, whereas the second one is a parabolicsystem. As a result we derive conditions for existence of the Bogomolny relationships.

机译：使用强必要条件的概念，我们推导了二阶两个广义椭圆和抛物线非线性偏微分方程（NPDE）系统的 Bogomolny 分解。泛化意味着方程系数取决于场变量。根据Cinquini-Cibrario标准[18-20]，第一种类型被描述为椭圆，而第二种类型是抛物线系统。因此，我们推导出了Bogomolny关系存在的条件。

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来源
《Journal of nonlinear mathematical physics》 |2009年第1期|25-34|共10页
作者
L. STPIEN; D. SOKALSKA; K. SOKALSKI;
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作者单位

Departmentof Computer Sciences and Computer MethodsPedagogical University of Cracow30-084 Krakow, ul. Podchorazych 2, Poland;

Institute of Physics, Technical University of Cracow30-084 Krakow, ul. Podchorazych 1, Poland;

Institute of Computer Science, Technical University of Czestochowa42-200 Czestochowa, al. Armii Krajowej 17, Poland;

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正文语种英语
中图分类理论物理学;
关键词
Nonlinear partial differential equations; variational methods; Bogomolny decomposition;

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THE BOGOMOLNY DECOMPOSITION FOR SYSTEMS OFTWO GENERALIZED NONLINEAR PARTIAL DIFFERENTIALEQUATIONS OF THE SECOND ORDER

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