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- W2024137323 abstract "By writing the perturbed Korteweg-de Vries equation (1) in operator form (2), we derive equations which are a basis for a perturbation method. In particular, in the first approximation, we obtain from them equations describing the evolution of the soliton amplitude and velocity. The present theory may be extended, also, to other nonlinear evolution equations if they are solved, without perturbation, by the inverse-problem method." @default.
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- W2024137323 date "1977-03-01" @default.
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- W2024137323 title "A perturbation theory for the Korteweg-De Vries equation" @default.
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- W2024137323 doi "https://doi.org/10.1016/0375-9601(77)90107-4" @default.
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