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Two generalisations of Burgers' equation

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Publication:1142123
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DOI10.1007/BF01202942zbMath0438.76053MaRDI QIDQ1142123

R. W. Lardner, J. C. Arya

Publication date: 1980

Published in: Acta Mechanica (Search for Journal in Brave)


zbMATH Keywords

shock layergeneralisation of Burgers' equationmatched asymptotic expansion methods


Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05)


Related Items (8)

Generalized Burgers Equations Transformable to the Burgers Equation ⋮ Generalized Burgers equations and Euler–Painlevé transcendents. I ⋮ Self-similar solutions of a generalized Burgers equation with nonlinear damping. ⋮ Generalized Burgers equations and Euler–Painlevé transcendents. II ⋮ On the generalized Burgers equation ⋮ Similarity solutions of the Burgers equation with linear damping. ⋮ A new similarity solution of the Burgers equation with linear damping ⋮ Second and third order perturbation solutions of a generalized Burgers' equation



Cites Work

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  • The formation of shock waves in Krylov-Bogoliubov solutions of hyperbolic partial differential equations
  • The development of plane shock waves in nonlinear viscoelastic media
  • The flow pattern of a supersonic projectile


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