Multiple one-dimensional and spherically symmetric self-similar solutions to the nonlinear wave equation for the Higgs field in the de Sitter space. (Q1395335)

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scientific article; zbMATH DE number 1940694
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Multiple one-dimensional and spherically symmetric self-similar solutions to the nonlinear wave equation for the Higgs field in the de Sitter space.
scientific article; zbMATH DE number 1940694

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    Multiple one-dimensional and spherically symmetric self-similar solutions to the nonlinear wave equation for the Higgs field in the de Sitter space. (English)
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    1 July 2003
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    Here, the authors analyze domain-wall, billow and spherical-bubble self-similar solutions to the scalar neutral field equation with two degenerate vacuums. Singular nonlinear boundary value problems are formulated and analyzed both analytically and numerically for second-order ordinary differential equations written in terms of scaling variables.
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    nonlinear wave equation
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    singular boundary value problem
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    cosmology
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    existence
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    nonuniqueness
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    solutions
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