On adiabatic transformation of spectral and energy characteristics of waves in one-dimensional parametric systems

Truncated equations based on general differential equations are derived and analyzed to describe the transformation of frequency and energy characteristics of waves in a one- dimensional system with slowly varying parameters. The problem of adiabatic invariants in such systems for an arbitrary dispersion law is discussed. The general relationships are illustrated by some physical examples.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 39, No. 4, pp. 436–445, April, 1996.