Abstract
This paper is devoted to studying the weakly nonlinear interaction of two waves whose propagation is governed by n × n hyperbolic systems of conservation laws. Our method of approach involves introducing two nonlinear phase variables and carrying out a perturbation analysis. This extended version of our previous single‐wave‐mode theory [5] is then applied to the equations of gas dynamics to study interacting sound waves. Numerical results for the wave‐wave interaction are presented graphically in a set of figures.
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