Charles Karney: Publication 8/85, Chu(1977)

F. Y. F. Chu and C. F. F. Karney.
Solution of the three-wave resonant equations with one wave heavily damped.
Phys. Fluids, 20(10[1]):1728–1732, October 1977.
M.I.T. Rept. RLE PRR 77/5 (Mar. 1977) 18 pp.
Reprint: pf77
DOI: 10.1063/1.861772
BibTeX Entry

The three wave equations in the limit where the waves at the upper two frequencies are undamped and the lowest frequency mode is heavily damped so that its dynamic equation becomes γ₃a₃ = K*a₁a₂*, are considered. These equations are solved (by quadrature) in two dimensions and time subject to arbitrary initial and boundary conditions. Illustrative examples arising in tokamak heating by lower hybrid waves are presented.