Electrostatic Korteweg-deVries solitary waves in a plasma with Kappa-distributed electrons

Choi, C.-R.; Min, K.-W.; Rhee, T.-N.
September 2011
Physics of Plasmas;Sep2011, Vol. 18 Issue 9, p092901
Academic Journal
The Korteweg-deVries (KdV) equation that describes the evolution of nonlinear ion-acoustic solitary waves in plasmas with Kappa-distributed electrons is derived by using a reductive perturbation method in the small amplitude limit. We identified a dip-type (negative) electrostatic KdV solitary wave, in addition to the hump-type solution reported previously. The two types of solitary waves occupy different domains on the κ (Kappa index)-V (propagation velocity) plane, separated by a curve corresponding to singular solutions with infinite amplitudes. For a given Kappa value, the dip-type solitary wave propagates faster than the hump-type. It was also found that the hump-type solitary waves cannot propagate faster than V = 1.32.


Related Articles

  • Nonthermal effects on the ion-acoustic solitons in Lorentzian electron-ion plasmas. Jung, Young-Dae; Hong, Woo-Pyo // Physics of Plasmas;Feb2011, Vol. 18 Issue 2, p024502 

    The nonthermal effects on the propagation of the ion-acoustic soliton are investigated in generalized Lorentzian electron-ion plasmas. The soliton solution of the Korteweg-de Vries equation is obtained as a function of the spectral index and modified stretched coordinate in the generalized...

  • Weakly relativistic effect in the formation of ion-acoustic solitary waves in a positive ion-beam plasma. Kalita, B. C.; Das, R.; Sarmah, H. K. // Canadian Journal of Physics;Mar2010, Vol. 88 Issue 3, p157 

    Relativistic solitons are investigated in a plasma with positive-ion beams using the Korteweg–de Vries (KdV) equation considering relativistic effects smaller for γi ≍ O(v2/c2) and γe ≍ O(u2/c2), and larger for γi ≍ O(v4/c4) and γe ≍ O(u4/c4), where...

  • Nonplanar ion-acoustic solitary waves with superthermal electrons in warm plasma. Eslami, Parvin; Mottaghizadeh, Marzieh; Pakzad, Hamid Reza // Physics of Plasmas;Jul2011, Vol. 18 Issue 7, p072305 

    In this paper, we consider an unmagnetized plasma consisting of warm adiabatic ions, superthermal electrons, and thermal positrons. Nonlinear cylindrical and spherical modified Korteweg-de Vries (KdV) equations are derived for ion acoustic waves by using reductive perturbation technique. It is...

  • Small amplitude electron-acoustic solitary waves in a plasma with superthermal hot electrons. Bedi, Chanchal; Chahal, Balwinder // Astrophysics & Space Science;Mar2013, Vol. 344 Issue 1, p161 

    In the present investigation, Electron acoustic solitons in a plasma consisting of cold electrons, superthermal hot electrons and stationary ions are studied. The basic properties of small but finite amplitude solitary potential structures that may exist in a given plasma system have been...

  • Ion acoustic solitons in unmagnetized inhomogeneous multi-ion component plasmas with vortex distributed electrons. Shah, Asif; Mahmood, S.; Haque, Q. // Physics of Plasmas;Nov2010, Vol. 17 Issue 11, p112320 

    The ion acoustic solitons are studied in an inhomogeneous multi-ion component plasma in the presence of heavy and light adiabatic ions and two temperature electrons with vortex distribution. The modified Korteweg-de Vries equation with an additional term due to density gradients is derived by...

  • Influence of superthermal and trapped electrons on oblique propagation of ion-acoustic waves in magnetized plasma. Ahmadihojatabad, N.; Abbasi, H.; Pajouh, H. Hakimi // Physics of Plasmas;Nov2010, Vol. 17 Issue 11, p112305 

    Effects of superthermal and trapped electrons on the oblique propagation of linear and nonlinear ion-acoustic waves in an electron-ion plasma in the presence of a uniform external magnetic field are investigated. In order to model the superthermal electrons, a Lorentzian (kappa) velocity...

  • Ion acoustic solitary and shock waves with nonextensive electrons and thermal positrons in nonplanar geometry. Sahu, Biswajit // Astrophysics & Space Science;Apr2012, Vol. 338 Issue 2, p251 

    The nonlinear wave structures of ion acoustic waves (IAWs) in an unmagnetized plasma consisting of nonextensive electrons and thermal positrons are studied in bounded nonplanar geometry. Using reductive perturbation technique we have derived cylindrical and spherical Korteweg-de Vries-Burgers'...

  • Oblique collision of modified Korteweg-de Vries ion-acoustic solitons. Nakamura, Y.; Bailung, H.; Lonngren, K.E. // Physics of Plasmas;Sep99, Vol. 6 Issue 9, p3466 

    Investigates two-dimensional propagation and oblique collision of modified Korteweg-de Vries (mKdV) ion-acoustic solitons in a plasma with negative ions. Resonance interaction of compressive and refractive mKdV solutions at a particular amplitude; Positive phase shift during the interaction.

  • Reflection of ion acoustic solitons in a plasma having negative ions. Chauhan, Sarvesh S.; Malik, H.K.; Dahiya, R.P. // Physics of Plasmas;Nov96, Vol. 3 Issue 11, p3932 

    Investigates the reflection of compressive and rarefractive ion acoustic solitons propagating in an inhomogeneous plasma in the presence of negative ions. Derivation of modified Korteweg-de Vries equations for incident and reflected solitons; Relationship of the amplitude of incident and...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics