Effect of Landau damping on ion-acoustic solitary waves in a magnetized nonthermal plasma with warm ions

Abstract

An evolution equation describing weakly nonlinear and weakly dispersive ion-acoustic waves in magnetized nonthermal plasma with warm ions, including the effect of Landau damping, has been derived. It is found that the coefficient of the nonlinear term of this equation vanishes along a particular curve in βσ-plane, where β is a parameter that determines the proportion of fast electrons and σ is the ratio of electron to ion temperature. In this case, the modified evolution equation has also been derived. The solitary wave solutions of these equations propagating obliquely to the external magnetic field have been obtained by the multiple time scale method. It has been found that in either case the amplitude of the solitary waves slowly decreases with time.