Abstract

From the dynamical equation of barotropic relaxing media beneath pressure perturbations, and using the reductive perturbative analysis, we investigate the soliton structure of a (1+1)-dimensional nonlinear partial differential evolution (NLPDE) equation δy(δ + uδy + (u2/2) δy)u + αuy + u = 0, describing high-frequency regime of perturbations. Thus, by means of Hirota's bilinearization method, three typical solutions depending strongly upon a characteristic dissipation parameter are unearthed.

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