A theory is proposed that describes in a self-consistent manner dampin
g and particle de acceleration within cavitons. The framework of tile
approach makes it possible to formulate a set of self-consistent equat
ions taking into account the change in the particle distribution funct
ion due to the interaction with cavitons and the damping of the waves
within the cavitons due to the interaction with resonant particles. Th
e spatial inhomogeneity of the distribution function of resonant parti
cles in the vicinity of a caviton produces a new type of damping. The
new damping mechanism is present for any inhomogeneity produced both b
y the other cavitons (or empty cavitons) in a strongly turbulent plasm
a or by any other source. This new type of damping is important for ar
resting wave collapse.