 |
| Titel |
Hamiltonian description of wave dynamics in nonequilibrium media |
| VerfasserIn |
N. N. Romanova |
| Medientyp |
Artikel
|
| Sprache |
Englisch
|
| ISSN |
1023-5809
|
| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 1, no. 4 ; Nr. 1, no. 4, S.234-248 |
| Datensatznummer |
250000219
|
| Publikation (Nr.) |
 copernicus.org/npg-1-234-1994.pdf |
|
|
|
|
|
| Zusammenfassung |
We consider Hamiltonian description of weakly nonlinear wave
dynamics in unstable and nonequilibrium media. We construct the appropriate canonical
variables in the whole wavenumber space. The essentially new element is the construction
of canonical variables in a vicinity of marginally stable points where two normal modes
coalesce. The commonly used normal variables are not appropriate in this domain. The mater
is that the approximation of weak nonlinearity breaks down when the dynamical system is
written in terms of these variables. In this case we introduce the canonical variables
based on the linear combination of modes belonging to the two different branches of
dispersion curve.
As an example of one of the possible applications of presented results the evolution
equations for weakly nonlinear wave packets in the marginally stable area are derived.
These equations cannot be derived if we deal with the commonly used normal variables. |
| |
|
| Teil von |
|
|
|
|
|
|
|