Allowed transformations and symmetry classes of variable coefficient Burgers equations

DOI10.1093/imamat/54.3.203zbMath0833.35126OpenAlexW2035549964MaRDI QIDQ4854166

Chang-Zheng Qu

Publication date: 5 December 1995

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/54.3.203

zbMATH Keywords

symmetry groupsshock wavesLie point symmetriessound wavesvariable coefficient Burgers equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (11)

Lie group classification of the \(N\)-th-order nonlinear evolution equations ⋮ Extended symmetry analysis of generalized Burgers equations ⋮ The Hopf-Cole transformation, topological solitons and multiple fusion solutions for the \(n\)-dimensional Burgers system ⋮ Group analysis of general Burgers–Korteweg–de Vries equations ⋮ Equivalence groupoid and group classification of a class of variable-coefficient Burgers equations ⋮ Symmetry Breaking for Black–Scholes Equations ⋮ Symbolic computation on generalized Hopf-Cole transformation for a forced Burgers model with variable coefficients from fluid dynamics ⋮ Optimal systems and group classification of \((1+2)\)-dimensional heat equation ⋮ The Large-Time Solution of Burgers' Equation with Time-Dependent Coefficients. I. The Coefficients Are Exponential Functions ⋮ Preliminary group classification of quasilinear third-order evolution equations ⋮ Preliminary group classification of a class of fourth-order evolution equations

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