Damped-driven KdV and effective equations for long-time behaviour of its solutions (Q616152)
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| Language | Label | Description | Also known as |
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| English | Damped-driven KdV and effective equations for long-time behaviour of its solutions |
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Damped-driven KdV and effective equations for long-time behaviour of its solutions (English)
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7 January 2011
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The author considers a sort of damped-driven KdV equation, and studies the limiting long-time behaviour of the KdV integrals of motion along a solution to the considered damped-driven KdV equation. The obtained limit is represented by a system of so-called effective equations for the damped-driven KdV equation, which are quasilinear stochastic heat equations with non-local nonlinearity.
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damped-driven KdV equation
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integral of motion
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stochastic heat equation
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