Although the eddy-forced envelope soliton model can describe a life cycle of atmospheric dipole blocking [7, 8], the KdV-type soliton cannot represent the time variation or life of atmospheric dipole blocking [2, 3].
Diao, "Interaction between antecedent planetary-scale envelope soliton blocking anticyclone and synoptic-scale eddies: observations and theory," Journal of Geophysical Research Atmospheres, vol.
We have discussed the impacts of these different plasma parameters on the shape structure of the envelope soliton
by sketching in two dimensions both the small amplitude potential [V.sub.s]([PHI]) versus electrostatic potential [PHI] and the first perturbed electrostatic potential [PHI]([zeta]) versus travelling wave parameter [zeta] as represented in Figures 2-5.
Equations (44) and (45) show that the envelope soliton
propagation velocity V is equal to the group velocity of Rossby waves plus a small correction; the carrier wave number k is equal to the number of linear Rossby waves plus a small correction; the carrier frequency [OMEGA] is equal to the linear Rossby waves frequency w plus two small corrections, related to its amplitude.
These envelope solitons are periodic in time and/or in space, and exhibit a modulation pattern in which an initially small hump in the envelope is amplified significantly due to the focusing properties of the deep-water NLS equation.
In this sense it is possible to state that the NLS envelope solitons do not possess any special properties that distinguish them from nonsoliton wave groups.
Hu, "Envelope solitons
in nonlinear left-handed transmission lines," Proceedings of Metamaterials 2007, 771-773, Rome, Oct.