Symmetry reductions and new exact invariant solutions of the generalized Burgers equation arising in nonlinear acoustics

DOI10.1016/j.ijengsci.2004.01.004zbMath1211.35247OpenAlexW2137841494MaRDI QIDQ536350

C. Wafo Soh

Publication date: 17 May 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2004.01.004

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Hydro- and aero-acoustics (76Q05) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items

Group classification and exact solutions of variable-coefficient generalized Burgers equations with linear damping, Extended symmetry analysis of generalized Burgers equations, Group analysis of general Burgers–Korteweg–de Vries equations, Equivalence groupoid and group classification of a class of variable-coefficient Burgers equations, Euler-Bernoulli beams from a symmetry standpoint-characterization of equivalent equations, Lie symmetries of generalized Burgers equations: application to boundary-value problems, Nonperturbative semi-analytical source-type solutions of thin-film equation, Group-theoretical framework for potential symmetries of evolution equations

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