2018 | OriginalPaper | Chapter
On Nonlinear Waves in Media with Complex Properties
Authors : Jüri Engelbrecht, Andrus Salupere, Arkadi Berezovski, Tanel Peets, Kert Tamm
Published in: Generalized Models and Non-classical Approaches in Complex Materials 1
Publisher: Springer International Publishing
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In nonlinear theories the axiom of equipresence requires all the effects of the same order to be taken account. In this paper the mathematical modelling of deformation waves in media is analysed involving nonlinear and dispersive effects together with accompanying phenomena caused by thermal or electrical fields. The modelling is based on principles of generalized continuum mechanics developed by G.A. Maugin. The analysis demonstrates the richness of models in describing the physical effects in media with complex properties.