Abstract
Methods of constructing asymptotic wavefront expansions for non-linear waves in continuous dissipative media are presented. We consider those cases where the dissipation mechanisms are provided through relaxation (rate dependence) and/or stratification (inhomogeneity) of the medium. Apart from the first non-constant one, the coefficients in these expansions are shown to be governed by linear transport equations. Numerical results, based on a Padé-extended version of these expansions, are presented for waves in fluid filled compliant tubes. Comparisons with results derived by the method of characteristics are made and presented graphically.
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