The solitons of Zabusky and Kruskal revisited: perspective in terms of the periodic spectral transform (Q1081033)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The solitons of Zabusky and Kruskal revisited: perspective in terms of the periodic spectral transform |
scientific article; zbMATH DE number 3969224
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The solitons of Zabusky and Kruskal revisited: perspective in terms of the periodic spectral transform |
scientific article; zbMATH DE number 3969224 |
Statements
The solitons of Zabusky and Kruskal revisited: perspective in terms of the periodic spectral transform (English)
0 references
1986
0 references
Considering the numerical soliton experiments of \textit{N. J. Zabusky} and \textit{M. D. Kruskal} [Phys. Rev. Lett. 15, 240-243 (1965)] in light of the spectral structure of the periodic Korteweg-de Vries equation, the authors derive the relationship between the infinite-line soliton and the soliton limit of periodic theory. They develop analytic and numerical procedures for determining the spectral structure of periodic wave train. Their estimates of the soliton amplitudes and phase speed agree with results of the above paper of Zabusky-Kruskal.
0 references
periodic Korteweg-de Vries
0 references
infinite-line soliton
0 references
spectral structure
0 references
periodic wave train
0 references
0 references
0 references
0 references
0 references
0 references
