Dust Ion Acoustic Solitary Waves in Plasma with Cairns Distributed Electrons and New Classical Distribution of Ions

In this composition of plasma with negative dust charge, new classical distribution of nonthermal ions and Cairns distributed electrons, both supersonic and subsonic only rarefactive solitons are found to exist. It appears to conclude that the solitons cease to exist at the increase of c. The supersonic (M = 1.4) rarefactive solitons considerably and concavely increase from small amplitude with the increase of the ion to dust density ratio Q for various values of temperature α . The concave but increasing growth of amplitude of the rarefactive solitons for all M (>1) exhibits its distinct character. Smaller the Mach number (e.g., for M = 1.2), smaller is the amplitude of the solitons throughout the range of v₀ (ion drift). The amplitudes of the rarefactive supersonic solitons are found to increase at the increase of the nonthermal parameter β for all r ( =n_e0 /n_i0 ). The dynamical scenario of this model indicates that the mass of the dusts should decrease in the plasma to generate higher amplitude solitons.