Study of Stability of a Charged Topological Soliton in the System of Two Interacting Scalar Fields

Details Study of Stability of a Charged Topological Soliton in the System of Two Interacting Scalar Fields Study of Stability of a Charged Topological Soliton in the System of Two Interacting Scalar Fields

2007-10-16

arxiv.org/abs/0710.2975v1

USSRComput.Math.Math.Phys.44:1968-1981,2007

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 2 figures

Scientific paper

An analytical-numerical analysis of the singular self-adjoint spectral problem for a system of three linear ordinary second-order differential equations defined on the entire real exis is presented. This problem comes to existence in the nonlinear field theory. The dependence of the differential equations on the spectral parameter is nonlinear, which results in a quadratic operator Hermitian pencil.

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