Damping models in the truncated DNLS equation

SANCHEZ-ARRIAGA, GONZALO; SANMARTÍN, JUAN; ELASKAR, SERGIO

PHYSICS OF PLASMAS

American Institute of Physics

Año: 2007 vol. 14 p. 82108 - 82109

1070-664X

Four-dimensional .ow in the phase space of three amplitudes of circularly polarized Alfven waves and one relative phase, resulting from a resonant three-wave truncation of the derivative nonlinear Schrödinger equation, has been analyzed; wave 1 is linearly unstable with growth rate
, and waves 2 and 3 are stable with damping 2 and 3, respectively. The dependence of gross dynamical features on the damping model
as characterized by the relation between damping and wave-vector ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau features on the damping model
as characterized by the relation between damping and wave-vector ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau features on the damping model
as characterized by the relation between damping and wave-vector ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau features on the damping model
as characterized by the relation between damping and wave-vector ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau 2 and 3 are stable with damping 2 and 3, respectively. The dependence of gross dynamical features on the damping model
as characterized by the relation between damping and wave-vector ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau features on the damping model
as characterized by the relation between damping and wave-vector ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau features on the damping model
as characterized by the relation between damping and wave-vector ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau features on the damping model
as characterized by the relation between damping and wave-vector ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau 2 and 3 are stable with damping 2 and 3, respectively. The dependence of gross dynamical features on the damping model
as characterized by the relation between damping and wave-vector ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau features on the damping model
as characterized by the relation between damping and wave-vector ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau features on the damping model
as characterized by the relation between damping and wave-vector ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau features on the damping model
as characterized by the relation between damping and wave-vector ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau 2 and 3 are stable with damping 2 and 3, respectively. The dependence of gross dynamical features on the damping model
as characterized by the relation between damping and wave-vector ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau features on the damping model
as characterized by the relation between damping and wave-vector ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau features on the damping model
as characterized by the relation between damping and wave-vector ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau features on the damping model
as characterized by the relation between damping and wave-vector ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau
, and waves 2 and 3 are stable with damping 2 and 3, respectively. The dependence of gross dynamical features on the damping model
as characterized by the relation between damping and wave-vector ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau features on the damping model
as characterized by the relation between damping and wave-vector ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau features on the damping model
as characterized by the relation between damping and wave-vector ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau features on the damping model
as characterized by the relation between damping and wave-vector ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau ratios, 2 / 3, k2 /k3, and the polarization of the waves, is discussed; two damping models, Landau 2 and 3, respectively. The dependence of gross dynamical features on the damping model
as characterized by the relation between damping and wave-vector ratios, 2 / 3, k2 /k3, and the polarization of the waves, is