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- W2093901875 abstract "For an integro-differential equation with rapidly oscillating kernel of Cauchy type it is proved that a solution exists and is uniformly bounded in the Holder norm with respect to a small parameter . This equation describes the essential part of the first correction in soliton perturbation theory. An asymptotic estimate is obtained for this correction, which implies that the soliton structure of the solution of an equation close to the integral equation is preserved for times ." @default.
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- W2093901875 date "1995-08-31" @default.
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- W2093901875 title "On the problem of first correction in soliton perturbation theory" @default.
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- W2093901875 doi "https://doi.org/10.1070/sm1995v186n07abeh000053" @default.
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