Abstract
We discuss analytical methodologies for analyzing waves in weakly or strongly nonlinear periodic media. These include techniques for studying standing and traveling waves in weakly nonlinear periodic media; methodologies for analyzing primary wave transmission in layered elastic media with strong nonlinearities; and new concepts and methods for traveling waves, solitary waves and pulse attenuation in strongly nonlinear homogeneous and heterogeneous granular media with no pre-compression. The field of nonlinear periodic media is a promising area of research with potential of diverse applications in science and engineering.
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