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Conservation laws and the perturbed KdV equation

R L Herman

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Examines the integral for the correction to the soliton position in the adiabatic approximation. Using the modified conservation laws for the mass and the energy, the general correction to the soliton position is obtained. It is easily seen that this correction is due to the formation of the shelf.


PACS

05.45.Yv Solitons

02.30.Cj Measure and integration

MSC

70H33 Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction

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

Subjects

Mathematical physics

Statistical physics and nonlinear systems

Dates

Issue 20 (21 October 1990)



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