Abstract
In this study nonlinear interaction between modulated transverse waves in a weakly nonlinear micropolar elastic medium is considered. The interaction is assumed to be between transverse acoustical and optical plane waves with equal group velocity. By using the reductive perturbation method, it is shown that the slow modulation of the complex envelopes is described by four coupled nonlinear evolution equations. As a special case, these equations reduce to a system of four coupled nonlinear Schrödinger equations. Some special solutions of the evolution equations, namely, nonlinear plane wave and envelope solitary wave solutions, are also presented.
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