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The stochastic, damped KdV equation

R L Herman

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The author applies singular perturbation theory to the study of a damped KdV soliton under the influence of space- and time-dependent external noise. He finds that asymptotically the shape of the averaged solution approaches that of a Gaussian packet, whose amplitude decays and width grows in the same way as in the case of purely time-dependent noise.


PACS

05.45.Yv Solitons

02.30.Jr Partial differential equations

02.50.Ey Stochastic processes

05.40.Ca Noise

MSC

60Gxx Stochastic processes

35Q53 KdV-like equations (Korteweg-de Vries, Burgers, sine-Gordon, sinh-Gordon, etc.) (See also 37K10)

35Q51 Solitons (See also 37K40)

Subjects

Mathematical physics

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 7 (7 April 1990)



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