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The purpose of this paper is to extend the recent work of Paul &Bandyopadhyay [Astrophys. Space Sci. 361, 172(2016)] on the existence ofdifferent dust ion acoustic solitary structures in an unmagnetizedcollisionless dusty plasma consisting of negatively charged static dust grains,adiabatic warm ions, nonthermal electrons and isothermal positrons in a moregeneralized form by considering nonthermal positrons instead of isothermalpositrons. The present system supports both positive and negative potentialdouble layers, coexistence of solitary waves of both polarities and positivepotential supersolitons. The qualitative and the quantitative changes inexistence domains of different solitary structures which occur for the presenceof nonthermal positrons have been presented in comparison with the results ofPaul & Bandyopadhyay [Astrophys. Space Sci. 361, 172(2016)]. The formation ofsupersoliton structures and their limitations have been analyzed with the helpof phase portraits of the dynamical system corresponding to the dust ionacoustic solitary structures. Phase portrait analysis clearly indicates asmooth transition between soliton and supersoliton.

Dust ion acoustic solitary structures in presence of nonthermally distributed electrons and positrons