Kummer function solutions of damped Burgers equations with time-dependent viscosity by exact linearization

DOI10.1016/j.nonrwa.2007.08.001zbMath1156.35466OpenAlexW1992691086MaRDI QIDQ1007751

M. Senthil Kumaran, B. Mayil Vaganan

Publication date: 24 March 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.08.001

zbMATH Keywords

generalized Burgers equationexact linearizationLie group methodCole-Hopf like transformationgeneralized Euler-Painlevé transcendentsKummer function solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05)

Related Items (8)

Generalized Burgers Equations Transformable to the Burgers Equation ⋮ Riemann problem for a \(2\times 2\) hyperbolic system with linear damping ⋮ A generalized Cole-Hopf transformation for a two-dimensional Burgers equation with a variable coefficient ⋮ Exact and explicit solutions of Euler-Painlevé equations through generalized Cole-Hopf transformations ⋮ Group Analysis, Fractional Explicit Solutions and Conservation Laws of Time Fractional Generalized Burgers Equation ⋮ Cole‐Hopf Transformations for Higher Dimensional Burgers Equations With Variable Coefficients ⋮ 1-soliton solution of the generalized Burgers equation with generalized evolution ⋮ Vanishing viscosity limit for Riemann solutions to a 2 × 2 hyperbolic system with linear damping

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