Magnetosonic Shocks and Solitons in Fermi Plasma With Quasiperiodic Perturbation
Sharry, Debiprosad Dutta, Mrittika Ghosh, Swarniv Chandra
Abstract
In this article, we consider a dense stellar plasma consisting of predominantly electrons, positrons, and ions under the action of the magnetic field of the star. We derived the Korteweg–de Vries Burgers (KdV-Burgers) equations by using the reductive perturbation technique and obtained shock and solitary profiles for magnetoacoustic waves. We further studied the self-interaction of such stationary formations and the amplitude modulated envelope solitons. The possibility of a rogue wave-like structure is also discussed. To understand the physical problem in greater detail, we studied the Hamiltonian formulation to study stability. We studied how modulational instability can lead to the formation of rogue waves by investigating the nonlinear Schrodinger equation. In addition, drift-like instability showing the density and charge separation effects in plasma has been studied. The results will be helpful to interpret magnetoacoustic wave formations in solar corona or other stellar entities and can help in the study of inhomogeneous plasmas in laboratory and fusion reactors. <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">PACS</i> —52.35.Fp, 03.50.De, 41.20.-q, 52.30.Cv, 47.85.Dh, 52.35.Hr, 52.27.Ep, 52.30.-q, 52.35.Tc, and 52.35.Sb.