Abstract
The transformation of a soliton in a zone with a sign-changing nonlinearity has been investigated on the basis of the Korteweg-de Vries equation. It is shown that after passage through the critical zone a soliton with opposite polarity is formed in the wave field and, together with the previously known mechanism of secondary-soliton generation as a result of a pedestal formed at the adiabatic stage, there also exists another mechanism which is associated with the transformation of the wave in a zone of variable nonlinearity after the critical point. It is shown that both mechanisms make approximately the same contribution to the secondary-soliton energetics.
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Pis’ma Zh. Éksp. Teor. Fiz. 65, No. 1, 113–117 (10 January 1997)
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Talipova, T.G., Pelinovskii, E.N. & Grimshaw, R. Transformation of a soliton at a point of zero nonlinearity. Jetp Lett. 65, 120–125 (1997). https://doi.org/10.1134/1.567336
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DOI: https://doi.org/10.1134/1.567336