Painlevé analysis and similarity solutions of Burgers' equation with variable coefficients

DOI10.1007/BF00037464zbMath0770.35070MaRDI QIDQ1189826

Francesco Olivieri

Publication date: 27 September 1992

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

zbMATH Keywords

Lie group techniquesexistence of invariance groupsinhomogeneity effects

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (4)

Nonclassical symmetry reductions and exact solutions of the Zabolotskaya–Khokhlov equation ⋮ Asymptotic waves for fast granular flows. ⋮ Model equations for nonlinear water waves involving forcing effects ⋮ Nonclassical symmetry reductions of nonlinear partial differential equations

Cites Work

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• Bäcklund transformations for nonlinear parabolic equations: the general results
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics
• Nonlinear boundary value problems in science and engineering
• Symmetries and differential equations

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