A non-linear equation for drift waves
A non-linear 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-de Vries equation. It can be transformed approximately in the two-dimensional modified Korteweg-de Vries 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 non-linear drift wave equation gives a strong support to k-spectrum calculations published previously by the author.
Bibliographic Reference: Article: Physics Letters A, Vol. 232 (1997) pp. 247-251
Record Number: 199711344 / Last updated on: 1997-10-16
Original language: en
Available languages: en