Ion-acoustic nonlinear periodic waves in electron-positron-ion plasma

Journal Article · Fri Oct 15 04:00:00 EDT 2010 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3501138· OSTI ID:21421256

Chawla, J K; Mishra, M K ^[1]

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1. Department of Physics, University of Rajasthan, Jaipur 302004 (India)

Ion-acoustic nonlinear periodic waves, namely, ion-acoustic cnoidal waves have been studied in electron-positron-ion plasma. Using reductive perturbation method and appropriate boundary condition for nonlinear periodic waves, the Korteweg-de Vries (KdV) equation is derived for the system. The cnoidal wave solution of the KdV equation is discussed in detail. It is found that the frequency of the cnoidal wave is a function of its amplitude. It is also found that the positron concentration modifies the properties of the ion-acoustic cnoidal waves. The existence regions for ion-acoustic cnoidal wave in the parameters space (p,{sigma}), where p and {sigma} are the positron concentration and temperature ratio of electron to positron, are discussed in detail. In the limiting case these ion-acoustic cnoidal waves reduce to the ion-acoustic soliton solutions. The effect of other parameters on the characteristics of the nonlinear periodic waves is also discussed.

• OSTI ID: 21421256
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 10 Vol. 17; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ANTILEPTONS
ANTIMATTER
ANTIPARTICLES
BOUNDARY CONDITIONS
CHARGED PARTICLES
DIFFERENTIAL EQUATIONS
ELECTRON TEMPERATURE
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
ION ACOUSTIC WAVES
ION TEMPERATURE
ION WAVES
IONS
KORTEWEG-DE VRIES EQUATION
LEPTONS
MATTER
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PERIODICITY
PERTURBATION THEORY
PLASMA
PLASMA WAVES
POSITRONS
VARIATIONS