Solitary and compact-like shear waves in the bulk of solids

Details Solitary and compact-like shear waves in the bulk of solids Solitary and compact-like shear waves in the bulk of solids

2006-01-10

arxiv.org/abs/nlin/0601021v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1103/PhysRevE.73.065604

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

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