Geodesic
Self-similar waves in media with bimodular elastic nonlinearity and relaxation
Russian journal of nonlinear dynamics, Tome 11 (2015) no. 2, pp. 209-218

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The results of research of the propagation of longitudinal acoustic waves in media with bimodular elastic nonlinearity and relaxation are presented. Analytical exact solutions have been obtained for the profiles of asymmetrical stationary waves as well as self-similar pulses and periodical waves propagating without distortions in their form.
Keywords: bimodular nonlinearity, relaxation, nonlinear waves, self-similar solutions. 
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     title = {Self-similar waves in media with bimodular elastic nonlinearity and relaxation},
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V. E. Nazarov; S. B. Kiyashko; A. V. Radostin. Self-similar waves in media with bimodular elastic nonlinearity and relaxation. Russian journal of nonlinear dynamics, Tome 11 (2015) no. 2, pp. 209-218. http://geodesic.mathdoc.fr/item/ND_2015_11_2_a1/