Propagation of weakly nonlinear plasma waves in periodically inhomogeneous structures

The effect of periodic inhomogeneity of а positive background on the dynamics of nonlinear potential waves in а cold plasma has been considered in а cuЬic approximation with respect to the field amplitude. Such an inhomogeneity results in splitting of the spectrum of the Langmuir wave into two branches, one of which appears to Ье damped. Medium inhomogeneity also results in а nonlinear frequency shift.