Abstract
Linear and nonlinear propagation of fast magnetohydrodynamic waves (or magnetoacoustic waves) are studied in homogeneous, magnetized and warm collisionless electron-positron (e-p) plasma by using two fluid magnetohydrodynamic model. In the linear limit, the wave dispersion relation is obtained and wave dispersion effect which appears through inertial length in e-p plasma system is also discussed. Using reductive perturbation method, the Korteweg-de Vries (KdV) equation for small but finite wave amplitude of magnetoacoustic waves is derived with appropriate boundary conditions. The cnoidal wave and soliton solutions are obtained using well known Sagdeev potential approach for magnetoacoustic waves in e-p plasmas propagating in the direction perpendicular to the external magnetic field. The phase portrait analysis and numerical illustration of magnetoacoustic cnoidal waves and solitons is also presented by using the parameters such as magnetic field intensity, plasma density and temperature of electron and positron fluids for astrophysical plasma situations exist in the literature.
Highlights
Nonlinear wave structures are believed to play dominant roles in generating strong turbulence in space, astrophysical and laboratory plasmas
Development of nonlinear theory reveals the concepts of solitary waves, solitary vortices, solitons, filaments, convective cells, jets, double layers, shocks, and zonal flow, which are intensively discusses during the last years
We would like to lay emphasis so called cnoidal magnetohydrodynamics nonlinear structures which undoubtedly will appear in electronpositron plasmas of astrophysical objects
Summary
Rehman et al. studied the propagation of magnetoacoustic cnoidal waves and solitons in electron-ion (e-i) plasma. Shukla and Eliasson studied the large amplitude electromagnetic solitary pluses and its propagation in electron-positron (e-p) plasma In this manuscript, we are studying magnetoacoustic cnoidal wave structures in magnetized e-p plasma and the wave dispersion effects are discussed due to inertial length in e-p plasma. The Korteweg-de Vries (KdV) equation for low amplitude magnetoacoustic cnoidal waves in e-p plasma is obtained with appropriate boundary conditions by using reductive perturbation method and its cnoidal wave and soliton solutions are established.
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