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Resolution of the motion of a perturbed KdV soliton

R L Herman

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The perturbation theory for the KdV equation, using inverse scattering methods, is revisited, resulting in the resolution of a long-standing controversy concerning the effects of perturbations on the soliton velocity.


PACS

02.30.Jr Partial differential equations

02.30.Zz Inverse problems

MSC

35R30 Inverse problems (undetermined coefficients, etc.) for PDE

35Q51 Solitons (See also 37K40)

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

Subjects

Mathematical physics

Dates

Issue 1 (February 1990)



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