K-P Burgers Equation for the Decay of Solitary Magnetosonic Waves Propagating Obliquely in a Warm Collisional Plasma

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A nonlinear evolution equation governing the two dimensional propagation of fastand slow magnetosonic modes in a warm collisional plasma has been derived. Thisequation is a combination of Kadomtsev-Petviashvili (K-P) equation and the Burgersequation. The two dimensional K-P equation has two types of solitary wave solutionsdepending on the sign of the coefficients. One type is the usual planar type, the otheris the lump solution. Both types of solitary wave solutions decay with time in theweak collisional limit. The two dimensional features of the amplitude and width ofthe lump or algebraic soliton have been discussed and the decay rates computednumerically. The decay rates depend on plasma beta and on the angle of propagationand the rates are different for the fast and the slow waves. At a certain angle of pro-pagation the decay rates of both the modes are equal in the case of low beta plasma.Because of 2-D effects, the slow mode, although it has a lower collisional decay ratethan the fast mode, ceases to exist as a stable solitary wave beyond a certain angle.The faster mode has higher damping rates for higher beta.
社団法人日本物理学会の論文
1991-09-15