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Nonlinear effects in the wave equation with a cubic restoring force - MaRDI portal

Nonlinear effects in the wave equation with a cubic restoring force (Q911732)

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scientific article; zbMATH DE number 4143400
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Nonlinear effects in the wave equation with a cubic restoring force
scientific article; zbMATH DE number 4143400

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    Nonlinear effects in the wave equation with a cubic restoring force (English)
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    1989
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    The basic nonlinear wave equation \(u_{tt}-u_{xx}+u^ 3=0\) is studied in a numerical and analytic framework. Some features of the longtime behaviour of the solutions is analyzed and the dependence on the initial conditions.
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    global behaviour
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    numerical experiments
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    oscillatory solutions
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    nonlinear wave equation
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    longtime behaviour
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