On Wiener functionals of order 2 associated with soliton solutions of the KdV equation (Q1888798)
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scientific article; zbMATH DE number 2119549
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Wiener functionals of order 2 associated with soliton solutions of the KdV equation |
scientific article; zbMATH DE number 2119549 |
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On Wiener functionals of order 2 associated with soliton solutions of the KdV equation (English)
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29 November 2004
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The author uses Wiener functionals to study soliton equations associated to Korteweg-de Vries (KdV) equations. He gets the infinite product expression associated to the Fourier transform of this functional. This infinite product expansion is related to the Hessian of the associated Wiener functional. Therefore he studies the asymptotics of the oscillatory integral involved with these eigenvalues.
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Hilbert-Schmidt operator
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Stochastic oscillatory integral
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Malliavin calculus
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