A hierarchy of coupled Korteweg-de Vries equations and the normalisation conditions of the Hilbert-Riemann problem
- 1 August 1983
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 16 (11) , 2423-2432
- https://doi.org/10.1088/0305-4470/16/11/014
Abstract
The authors discuss the normalisation conditions of the Hilbert-Riemann Problem which is of importance for the construction of the ladder of soliton solutions. For a given spectral problem they provide the prescription for constructing the appropriate normalisation condition. All this is applied to a new hierarchy of coupled Korteweg-de Vries equations to find the soliton solution which displays some peculiar phenomena.Keywords
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