Nonlinear evolution of lower hybrid waves

The two-dimensional steady-state distribution of lower hybrid waves is governed by the complex modified Korteweg-deVries equation. The equation is studied numerically. Two types of solitary waves can arise. One is a constant phase pulse, whereas the other is an envelope solitary wave. These solitary waves are not solitons. The occurrence of the constant phase pulses points to the possibility of internal reflections due to scattering off ponderomotive density fluctuations. This necessitates solving the equation as a boundary value problem. With typical fields for lower hybrid heating of a tokamak, it is found that large reflections can occur close to the edge of the plasma

Complex Modified Korteweg--DeVries equation, a non-integrable evolution equation

The two-dimensional steady-state propagation of electrostatic waves is governed by delta v/delta tau + delta/sup 3/v/delta xi/sup 3/ + delta((absolute value of v)/sup 2/v)/delta xi = 0, the Complex Modified Korteweg-DeVries equation. The properties of this equation are studied