Electrostatic envelope excitations in a nonextensive dusty plasma with two temperature ions

Modulation instability of dust acoustic waves (DAWs) is investigated in a collisionless, unmagnetized one dimensional plasma, containing two temperature ions and electrons featuring hybrid nonthermal distribution. Using the multiple scale perturbation technique, a nonlinear Schrodinger equation (NLSE) which governs the modulation instability of the DAWs is derived. Valid range of plasma parameters has been fixed and their effects on the modulational instability are discussed in detail. Different types of envelope (bright/dark) solitons are observed. Both dispersion and nonlinearity coefficients of the NLSE are explicit functions of relevant physical parameters that change the critical wave number at which modulational instability sets in. The characteristics of DASWs are modified by varying different physical parameters. The findings of this investigation may useful to understand the nonlinear excitations in space and astrophysical environments where dust, two temperature ions and non-Maxwellian electrons are present.