Nonlinear Surface Acoustic Waves and Their Associated Surface Acoustic Solitons
We obtain the nonlinear dispersion relation, and the associated displacement field, for nonlinear surface acoustic waves of shear horizontal polarization that propagate without change of form in a system that consists of a film of thickness d of a linear, cubic elastic medium bonded to a semi-infinite, nonlinear, cubic elastic medium. From the nonlinear dispersion relation we obtain the nonlinear Schrödinger equation governing the propagation of a surface acoustic soliton in this system by methods developed originally by Whitham, Yuen and Lake, and Karpman and Krushkal΄. It is found that stable solutions of this equation can exist in the system under consideration.
KeywordsSoliton Expense Acoustics
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