2013/08/04 by Mayer Humi, Humi, Mayer · 1 citation
Mathematics · Physics and Astronomy · #02.30.Gp #02.30.Hq #02.30.Ik #Advanced Differential Equations and Dynamical Systems #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #math-ph #math.MP #msc:02.30.Gp #msc:02.30.Hq #msc:02.30.Ik
paper · pdf · doi:10.48550/arxiv.1308.0858
10 pages
arxiv created 2013/08/04 · openalex publication_date 2013/08/04 · arxiv updated 2013/08/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Differential equations with convective terms such as the Burger's equation appear in many applications and have been the subject of intense research. In this paper we use a generalized form of Cole-Hopf transformation to relate the solutions of some of these nonlinear equations to the solutions of linear equations. In particular we consider generalized forms of Burger's equation and second order nonlinear ordinary differential equations with convective terms which can represent steady state one-dimensional convection.