Abstract
Nonlinear modulation of transverse waves in an infinite micropolar elastic medium is investigated under the assumption of weak nonlinearity. Using the reductive perturbation method, it is shown that the slowly varying complex amplitudes of the transverse (displacement or microrotation) waves are governed by two coupled Nonlinear Schrödinger (NLS) equations. Some special solutions of these coupled equations, namely, circularly and linearly polarized nonlinear plane wave and envelope solitary wave solutions, are given. The modulational instability of the plane wave solutions is also discussed.
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