Transformation of a soliton at a point of zero nonlinearity
- 1 January 1997
- journal article
- Published by Pleiades Publishing Ltd in JETP Letters
- Vol. 65 (1) , 120-125
- https://doi.org/10.1134/1.567336
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.Keywords
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