 |
| Titel |
Shallow water cnoidal wave interactions |
| VerfasserIn |
A. R. Osborne |
| Medientyp |
Artikel
|
| Sprache |
Englisch
|
| ISSN |
1023-5809
|
| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 1, no. 4 ; Nr. 1, no. 4, S.241-251 |
| Datensatznummer |
250000220
|
| Publikation (Nr.) |
 copernicus.org/npg-1-241-1994.pdf |
|
|
|
|
|
| Zusammenfassung |
| The nonlinear dynamics of cnoidal waves, within the context of
the general N-cnoidal wave solutions of the periodic Korteweg-de Vries (KdV) and
Kadomtsev-Petvishvilli (KP) equations, are considered. These equations are important for
describing the propagation of small-but-finite amplitude waves in shallow water; the
solutions to KdV are unidirectional while those of KP are directionally spread. Herein
solutions are constructed from the 0-function representation of their appropriate inverse
scattering transform formulations. To this end a general theorem is employed in the
construction process: All solutions to the KdV and KP equations can be written as the
linear superposition of cnoidal waves plus their nonlinear interactions. The approach
presented here is viewed as significant because it allows the exact construction of N
degree-of-freedom cnoidal wave trains under rather general conditions. |
| |
|
| Teil von |
|
|
|
|
|
|
|
|