The class of second order quasilinear equations: models, solutions and background of classification

2017/08/26 by O. V. Makarenko, Makarenko, O., Антон Юрьевич Попов +3
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Pattern Formation and Solitons (nlin.PS)

paper · pdf · doi:10.48550/arxiv.1708.08002

openalex publication_date 2017/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper is concerned with the unsteady solutions to the model of mutually penetrating continua and quasilinear hyperbolic modification of the Burgers equation (QHMB). The studies were focused on the peculiar solutions of models in question. On the base of these models and their solutions, the ideas of second order quasilinear models classification were developed.

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