Coherent Structures in Sheared Flow of Magnetized Plasma with Magnetic Shear

Abstract

A method for designing minimum-phase or minimum-delay filters with an arbitrary complex transfer function inside a finite frequency interval is proposed. The method is based on a result of Krein and Nudel'man (Krein M G and Nudel'man P Ya 1975 Probl. Pereda. Inf. 11 37-60). The filters are divided into two classes, depending on their asymptotic behaviour for high frequencies.For filters with asymptotic value different from zero, a straightforward and completely general synthesis method is proposed, yielding good numerical results. A similar method is shown to be suitable for a limited class of filters whose responses are required to approach zero in a certain sense.

Linear and nonlinear fluctuations of electron‐temperature‐gradient driven mode and electron acoustic mode in a two‐electron temperature nonthermal magnetized plasma

“…where Φ o , K o , and b o are arbitrary constants. The analytical solution of Equation (29) is well quoted in the literature [34,35] and has the following form,…”

Acoustic-gravity nonlinear structures

“…Equations (32)- (35) and (37), (38) have been extensively studied (Vranješ andJovanović, 1996, 1997). In the linear limit, Eq.…”