Self-similar waves in media with bimodular elastic nonlinearity and relaxation


    2015, Vol. 11, No. 2, pp.  209-218

    Author(s): Nazarov V. E., Kiyashko S. B., Radostin A. V.

    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
    Citation: Nazarov V. E., Kiyashko S. B., Radostin A. V., Self-similar waves in media with bimodular elastic nonlinearity and relaxation, Rus. J. Nonlin. Dyn., 2015, Vol. 11, No. 2, pp.  209-218
    DOI:10.20537/nd1502001


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