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- Title
Bifurcations of ion acoustic solitary waves and periodic waves in an unmagnetized plasma with kappa distributed multi-temperature electrons.
- Authors
Saha, Asit; Chatterjee, Prasanta
- Abstract
Ion acoustic solitary waves and periodic waves in an unmagnetized plasma with superthermal (kappa distributed) cool and hot electrons have been investigated using non-perturbative approach. We have transformed basic model equations to an ordinary differential equation involving electrostatic potential. Then we have applied the bifurcation theory of planar dynamical systems to the obtained equation and we have proved the existence of solitary wave solutions and periodic wave solutions. We have derived two exact solutions of solitary and periodic waves depending on the parameters. From the solitary wave solution and periodic wave solution, we have shown the effects of density ratio p of cool electrons and ions, spectral index κ, and temperature ratio σ of cool electrons and hot electrons on characteristics of ion acoustic solitary and periodic waves.
- Subjects
ION acoustic waves; BIFURCATION theory; SOLITONS; THERMAL analysis; TEMPERATURE effect; ORDINARY differential equations; ELECTROSTATICS; PLASMA gases; ELECTRON temperature
- Publication
Astrophysics & Space Science, 2014, Vol 350, Issue 2, p631
- ISSN
0004-640X
- Publication type
Article
- DOI
10.1007/s10509-014-1796-z