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Exact solutions of generalized Burgers equation, describing travelling fronts and their interaction

2006/09/21 by Vsevolod Vladimirov, Vsevolod A. Vladimirov, Czesław Mączka
Mathematics · Physics and Astronomy · #Fractional Differential Equations Solutions #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #nlin.PS

paper · pdf · doi:10.1016/s0034-4877(07)80142-x

12 pages, 3 figures

arxiv created 2006/09/21 · openalex publication_date 2007/10/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present new analytical solutions to the hyperbolic generalization of Burgers equation, describing interaction of the wave fronts. To obtain them, we employ a modified version of the Hirota method.

Citations