Abstract
Sufficient conditions for the existence of ray solutions of nonlinear wave-wave interacting systems are established. It is shown that, along these solutions, the phases of the waves are time invariant and the wave-energy transfer is always unidirectional or irreversible. Also, under certain conditions, the ray solutions are explosive. The applications of the main results to specific forms of two-wave and three-wave nonlinear interacting systems are discussed.
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