Exact N‐Wave Solutions of Generalized Burgers Equations

DOI10.1002/sapm1996974349zbMath0878.35102OpenAlexW143295902MaRDI QIDQ4350996

K. T. Joseph, B. Mayil Vaganan, P. L. Sachdev

Publication date: 4 September 1997

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1996974349

zbMATH Keywords

shockgeneralized Burgers equationviscous effects\(N\)-wave solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05)

Related Items (3)

Higher order asymptotic for Burgers equation and adhesion model ⋮ Kummer function solutions of damped Burgers equations with time-dependent viscosity by exact linearization ⋮ \(N\)-wave solution of modified Burgers equation

Cites Work

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• Bäcklund transformations for nonlinear parabolic equations: the general results
• Asymptotic solutions of model equations in nonlinear acoustics
• Exact N-wave solutions for the non-planar Burgers equation
• On the solution of the equation 𝑢_{𝑡}+𝑢ⁿ𝑢ₓ+𝐻(𝑥,𝑡,𝑢)=0
• Evolution and decay of spherical and cylindrical N waves

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