The solution for the initial spatial rate of growth of the second harmonic surface wave in arbitrarily anisotropic piezoelectric solids is obtained. The solution satisfies the nonlinear electroelastic differential equations and boundary conditions quadratic in the small field variables consistently to second order in the small amplitude of the input wave. The solution is obtained by means of a straightforward iterative procedure without making any ansatz. It turns out that the growing second harmonic surface wave has exactly the same amplitude ratios as the input surface wave. The expression for the initial slope of the second harmonic surface wave is obtained in the general anisotropic case.
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Tiersten et al. (1985) studied this question.
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