Abstract
Dust ion acoustic solitons in an unmagnetized dusty plasma comprising cold dust particles, adiabatic fluid ions, and electrons satisfying a κ distribution are investigated using both small amplitude and arbitrary amplitude techniques. Their existence domain is discussed in the parameter space of Mach number M and electron density fraction f over a wide range of values of κ. For all κ>3/2, including the Maxwellian distribution, negative dust supports solitons of both polarities over a range in f. In that region of parameter space solitary structures of finite amplitude can be obtained even at the lowest Mach number, the acoustic speed, for all κ. These cannot be found from small amplitude theories. This surprising behavior is investigated, and it is shown that fc, the value of f at which the KdV coefficient A vanishes, plays a critical role. In the presence of positive dust, only positive potential solitons are found.
| Original language | English |
|---|---|
| Article number | 053702 |
| Journal | Physics of Plasmas |
| Volume | 17 |
| Issue number | 5 |
| DOIs | |
| State | Published - May 2010 |
| Externally published | Yes |
Funding
We thank Professor Frank Verheest (Universiteit Gent, Belgium) for a number of fruitful discussions. This research is supported by the National Research Foundation of South Africa (NRF). Any opinion, findings, and conclusions, or recommendations, expressed in this material are those of the authors and therefore the NRF does not accept any liability in regard thereto. T.K.B. also thanks the National Astrophysics and Space Science Programme (NASSP) for its financial support. This work was also supported in part by UK EPSRC Science and Innovation award in Plasma Physics (CPP Grant No. EP/D06337X/1). N.S.S. thanks Guru Nanak Dev University, Amritsar, India for providing leave.