Abstract
The properties of propagation of small amplitude ion acoustic solitary waves (IASWs) are studied in a plasma containing cold fluid ions and multi-temperature electrons (cool and hot electrons) with nonextensive distribution. Korteweg-de Vries (KdV) equation with finite amplitude is derived using a reductive perturbation method. From the solitary solutions of KdV equation, the combined effects of nonextensivity and density ratio are studied on characteristics of ion acoustic (IA) solitary waves. Positive as well as negative polarity solitons exist. Since singularity exists for A=0 so we have also derived modified Korteweg de Vries (mKdV) equation to study the solitonic solution for critical values of physical parameters (q,f,σ). The nonextensivity of electrons (via q) and density ratio of electrons and ions (via f) and temperature ratio (σ) significantly influence the characteristics of ion acoustic solitary structures.
Original language | English |
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Pages (from-to) | 155-163 |
Number of pages | 9 |
Journal | Astrophysics and Space Science |
Volume | 346 |
Issue number | 1 |
DOIs | |
State | Published - Jul 2013 |
Externally published | Yes |
Funding
Acknowledgement Shalini is grateful to University Grants Commission, New Delhi for Rajiv-Gandhi Fellowship award. The work by N.S.S. was supported by University Grants Commission, New Delhi, India under the major research project F. No. 41-873/2012(SR).
Funders | Funder number |
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University Grants Commission | 41-873/2012 |
Keywords
- Ion acoustic
- Non-Maxwellian
- Nonextensivity
- Solitons
- Two temperature electrons
- mKdV