PERIODIC-SOLUTIONS OF THE 2-DIMENSIONAL DRIFT-WAVE EQUATION

The extension of the nonlinear drift wave equation including the two-dimensional vector nonlinearity by LAKHIN et al. (1987, Phys. Lett. A 119. 348; 1988, Plasma Phys. Contr. Fusion 30, 457) has found much interest in recent theoretical and experimental investigations. In 'this study we present periodical solutions alternatively to the localized soliton solutions in the one-dimensional limits and the localized vortex solutions in two-dimensions. We therefore extend a perturbation scheme, which has recently been employed to a (quasi-) one-dimensional limit (KAUSCHKE and SCHLUTER, 1991, Plasma Phys. Contr. Fusion 33. 1309). to the two-dimensional situation.