Exceptional symmetry reductions of Burgers' equation in two and three spatial dimensions

DOI10.1007/BF00917446zbMath0843.35099OpenAlexW2037411485MaRDI QIDQ1898028

Philip Broadbridge, Maureen P. Edwards

Publication date: 15 August 1996

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00917446

zbMATH Keywords

reductionBurger's equationRichard's equation

Mathematics Subject Classification ID

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

Related Items (13)

Nonlinear self-adjointness and conservation laws of the \((3+1)\)-dimensional Burgers equation ⋮ Master partial differential equations for a type II hidden symmetry ⋮ Lie group analysis of two-dimensional variable-coefficient Burgers equation ⋮ A complete Lie symmetry classification of a class of (1+2)-dimensional reaction-diffusion-convection equations ⋮ Extended symmetry analysis of two-dimensional degenerate Burgers equation ⋮ Group analysis of \((2+1)\)- and \((3+1)\)-dimensional diffusion-convection equations ⋮ Cole‐Hopf Transformations for Higher Dimensional Burgers Equations With Variable Coefficients ⋮ Type-II hidden symmetries through weak symmetries for nonlinear partial differential equations ⋮ Numerical similarity reductions of the (1+3)-dimensional Burgers equation ⋮ Exact travelling wave solutions for a diffusion-convection equation in two and three spatial dimensions ⋮ Similarity reductions of the (1 + 3)-dimensional Burgers equation ⋮ Enhanced symmetry analysis of two-dimensional Burgers system ⋮ Provenance of Type II hidden symmetries from nonlinear partial differential equations

Uses Software

• REDUCE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Similarity reductions and Painlevé property of the coupled higher dimensional Burgers' equation
• Burgers' equation and layered media: Exact solutions and applications to soil-water flow
• Identification of parameters in a nonlinear self-consistent system including a Burgers' equation
• A symmetry approach to exactly solvable evolution equations
• Evolution equations possessing infinitely many symmetries
• Non-integrability of non-linear diffusion-convection equations in two-spatial dimensions
• Exact transient solutions to nonlinear diffusion-convection equations in higher dimensions
• Painleve analysis of the two-dimensional Burgers equation
• The partial differential equation u_t + uu_x = μ_xx
• Symmetries and differential equations

This page was built for publication: Exceptional symmetry reductions of Burgers' equation in two and three spatial dimensions