Arbitrary amplitude ion acoustic solitary waves in the presence of adiabatically heated ions and immobile dust in magnetized plasmas

Abstract

Arbitrary amplitude ion acoustic solitary waves in the presence of adiabatically heated ions and immobile dust are investigated in magnetized plasmas. It is found that ion density humps are formed in the subsonic as well as in the supersonic regime depending on the immobile dust density. The ion acoustic solitary wave amplitude is reduced and the width of the structure is broadened with the increase in the immobile dust density. The increase in the ion temperature decreases the wave amplitude in magnetized dusty plasmas. The wave amplitude is increased with the increase in the obliqueness of the wave and the Mach number in both the subsonic and supersonic regions. It is also found that ion acoustic solitary humps and kink-type solitons can coexist only in the supersonic region. The amplitude of the kink-type solitary structure is reduced with the increase in the immobile dust density, and the nonlinear structure becomes less steepened. The numerical results are also presented. The limiting cases of magnetized electron-ion plasmas with hot and cold ions are discussed and flaws in the earlier published work are also pointed out.