Unidirectional energy transfer in nonlinear wave-wave interactions

Abstract

In this paper, the wave‐energy transfer in a system of three nonlinearly interacting waves is studied. Sufficient conditions for the unidirectional transfer of energy into any wave from the remaining waves and bounds for the wave amplitudes are established. Also, a relation governing the rates of energy transfer between the waves is derived. The results are applied to a magnetized plasma with three nonlinearly interacting waves.