A model, based on the resistively shunted junction theory, is develope
d can used to study microwave absorption in weak-link Josephson juncti
ons in high-T-c superconductors. Both linear and nonlinear cases of mi
crowave absorption in Josephson junctions are analyzed. A comparison o
f the model with microwave absorption loop theory is presented along w
ith a general condition for the applicability of both models. The nonl
inear case was solved numerically and the threshold points of sharp mi
crowave absorption are presented. At these points, a 2 pi dynamic quan
tization is the key to the interpretation of nonlinear microwave absor
ption data. The nonlinear microwave absorption model is extended to th
e study of nonuniformly coupled junctions, and a general statement for
the applicability of such a model is presented.