Existence and stability of solitary kinetic Alfvén, ion-acoustic and electron-acoustic waves in a two electron temperature plasma

Abstract

The Korteweg–de Vries–Zakharov–Kuznetsov equations are derived for kinetic Alfvén, ion- acoustic and electron-acoustic waves in a two electron temperature magnetized plasma. The solitary wave solutions of these equations propagating obliquely to the external uniform magnetic field are obtained. The existence of these solitary wave solutions in the parameter space is investigated and studies are made on the stabilities of these solitary waves by the Rowlands–Infeld method. The kinetic Alfvén solitons are found to be stable. The instability criterion and maximum growth rate of instability become the same for both electron-acoustic and ion-acoustic solitons.