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We show that a model proposed by Rubin, Rosenau, and Gottlieb [J. Appl. Phys.77 (1995) 4054], for dispersion caused by an inherent material characteristiclength, belongs to the class of simple materials. Therefore, it is possible togeneralize the idea of Rubin, Rosenau, and Gottlieb to include a wide range ofmaterial models, from nonlinear elasticity to turbulence. Using this insight,we are able to fine-tune nonlinear and dispersive effects in the theory ofnonlinear elasticity in order to generate pulse solitary waves and also bulktravelling waves with compact support

Solitary and compactlike shear waves in the bulk of solids