Nonlinear adiabatic electron plasma waves. II. Applications

In this article, we use the general theory derived in Paper I [M. Tacu and D. Bénisti, Phys. Plasmas 29, 052108 (2022)] order to address several long-standing issues regarding nonlinear electron plasma waves (EPWs). First, discuss relevance practical usefulness of stationary solutions Vlasov–Poisson system, so-called Bernstein–Greene–Kruskal modes, model slowly varying waves. Second, derive an upper bound for wave breaking limit EPW growing initially Maxwellian plasma. Moreover, show a simple dependence as function kλD, with k being wavenumber λD Debye length. Third, explicitly envelope equation ruling evolution wave, up amplitude close limit. Fourth, estimate growth transverse wavenumbers resulting from wavefront bowing by solving nonlinear, nonstationary, ray tracing equations EPW, together stimulated Raman scattering.