 |
| Titel |
Hamiltonian formulation for the description of interfacial solitary waves |
| VerfasserIn |
R. Grimshaw, S. R. Pudjaprasetya |
| Medientyp |
Artikel
|
| Sprache |
Englisch
|
| ISSN |
1023-5809
|
| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 5, no. 1 ; Nr. 5, no. 1, S.3-12 |
| Datensatznummer |
250002180
|
| Publikation (Nr.) |
 copernicus.org/npg-5-3-1998.pdf |
|
|
|
|
|
| Zusammenfassung |
| We consider solitary waves propagating on the interface
between two fluids, each of constant density, for the case when the upper fluid is bounded
above by a rigid horizontal plane, but the lower fluid has a variable depth. It is
well-known that in this situation, the solitary waves can be described by a
variable-coefficient Korteweg-de Vries equation. Here we reconsider the derivation of this
equation and present a formulation which preserves the Hamiltonian structure of the
underlying system. The result is a new variable-coefficient Korteweg-de Vries equation,
which conserves energy to a higher order than the more conventional well-known equation.
The new equation is used to describe the transformation of an interfacial solitary wave
which propagates into a region of decreasing depth. |
| |
|
| Teil von |
|
|
|
|
|
|
|
|