DERIVATION OF NONLINEAR WAVE EQUATION FOR FLEXURAL MOTIONS OF AN ELASTIC BEAM TRAVELLING IN AN AIR-FILLED TUBE

Resonant Wave-Particle Interaction in an

Resonant Wave-Particle Interaction in an Explosively Unstable Beam-Plasma System. I. Derivation of a System of Nonlinear Equations and Numerical Evaluation of the Saturation Field Strength

✍ K. J. G. Kruscha; R. W. Leven 📂 Article 📅 1984 🏛 John Wiley and Sons 🌐 English ⚖ 589 KB

The evolution of a resonant triplet of linearly stable electrostatic waves in a beam-plasma system is considered. A set of nonlinear ordinary differential equations is derived, which allow an investigation of the explosive instability with minimum numerical expense. Our model is different from the w