A nonlinear equation for drift waves
A nonlinear drift wave equation is derived for a hot plasma confined by a strong magnetic field, the temperature gradient being perpendicular to the magnetic field and unidirectional. This equation which is obtained through a long wave length approximation, is the two-dimensional Korteweg-deVries equation. It can be transformed approximately to the two-dimensional modified Korteweg-deVries equation via the Miura transformation. A bi-Hamiltonian formulation of the drift wave equation is given, which implies its complete integrability. This derivation of the nonlinear drift wave equation gives a strong support to k-spectrum calculations published previously by the author.
Bibliographic Reference: Report: IPP 6/345 EN (1996) 8pp.
Availability: Available from the Max-Planck-Institut für Plasmaphysik, 85748 Garching bei München (DE)
Record Number: 199710049 / Last updated on: 1997-02-26
Original language: en
Available languages: en