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Stability, instability and interaction of solitary pulses in a composite medium. (English) Zbl 1062.74026
The stability (instability) of soliton-like solutions (solitary pulses) in nonlinear isotropic (anisotropic) composite materials is investigated. It is worth mentioning that the presence of several components can give interesting properties (such as dispersion) which are not present in each separate component. Two kind of instabilities are investigated: the blow-up one, and that related to to the energy exchange between the components of the strain tensor. It is also important to mention that the stability is closely related to the possibility of observing the phenomenon. Investigations are carried by numerical means, and suggestive plots are presented.

MSC:
74J35 Solitary waves in solid mechanics
74H55 Stability of dynamical problems in solid mechanics
74E30 Composite and mixture properties
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