Landau damping of electron-acoustic waves due to multi-plasmon resonances

The linear and nonlinear theories of electron-acoustic waves (EAWs) are studied in a partially degenerate quantum plasma with two-temperature electrons stationary ions. initial equilibrium is assumed to be given by the Fermi–Dirac distribution at finite temperature. By employing multi-scale asymptotic expansion technique one-dimensional Wigner–Moyal Poisson equations, it shown that effects multi-plasmon resonances lead modified complex Korteweg–de Vries (KdV) equation new nonlocal nonlinearity. In addition giving rise term, wave–particle resonance also modifies local coupling coefficient KdV equation. latter conserve number particles; however, wave energy decays time. A careful analysis shows two-plasmon dominant mechanism for Landau damping EAWs. An approximate soliton solution obtained, causes amplitude decay slowly time compared classical theory.