Group theoretic methods applied to Burgers' equation
type: Item
instance of: scholarly article
title: Group theoretic methods applied to Burgers' equation
zbMATH Open document ID: 0942.35157
DOI: 10.1016/S0377-0427(99)00170-3
author: Samy M. A. El-Mansi
author: M. B. Abd-el-Malek
published in: Journal of Computational and Applied Mathematics
publication date: 2000-03-23T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37K30
Mathematics Subject Classification ID: 22E05
zbMATH DE Number: 1423304
zbMATH Keywords: Burgers' equation
zbMATH Keywords: group theoretic method
zbMATH Keywords: Cole-Hopf transformation
describes a project that uses: SPDE
MaRDI profile type: Publication
cites work: Application of the Group-Theoretical Method to Physical Problems
cites work: Group method analysis of unsteady free-convective laminar boundary-layer flow on a nonisothermal vertical circular cylinder
cites work: Group method analysis of steady free-convective laminar boundary-layer flow on a nonisothermal vertical circular cylinder
cites work: Nonlinear partial differential equations in engineering. Vol. II
cites work: Analysis of fluid equations by group methods
cites work: Some New Exact, Viscous, Nonsteady Solutions of Burgers' Equation
cites work: Solutions Illustrating the Decay of Dissipation Layers in Burgers' Nonlinear Diffusion Equation
cites work: A table of solutions of the one-dimensional Burgers equation
cites work: Q5802895
cites work: Group properties and new solutions of Navier-Stokes equations
cites work: Q5785871
cites work: On a quasi-linear parabolic equation occurring in aerodynamics
cites work: Q3665499
cites work: PLANE SOUND WAVES OF FINITE AMPLITUDE
cites work: Q3998496
cites work: The partial differential equation ut + uux = μxx
cites work: Q3995388
cites work: High-order transverse schemes for the numerical solution of PDEs
cites work: Reduction of the Number of Variables in Systems of Partial Differential Equations, with Auxiliary Conditions
cites work: Q3705168
cites work: Inviscid fluid flows
cites work: A direct variational method applied to Burgers' equation
cites work: Bifurcation of solutions to the controlled Burgers equation
cites work: A Riccati solution for Burgers’ equation
cites work: Nonlinear boundary value problems in science and engineering
cites work: On two phase filtration under gravity and with boundary infiltration: application of a bäcklund transformation
cites work: Symmetries of Differential Equations: From Sophus Lie to Computer Algebra
cites work: Space‐time finite elements incorporating characteristics for the burgers' equation
cites work: The solution of Burgers' equation for sinusoidal excitation at the upstream boundary
cites work: The Painlevé property for partial differential equations
cites work: Lectures on wave propagation
Recommended article: Group analysis of general Burgers–Korteweg–de Vries equations
Recommended article: Q5395770
Recommended article: Group invariant solutions of Burgers-Poisson equation
Recommended article: Q3345152
Recommended article: Q4009660
Recommended article: Equivalence groupoid and group classification of a class of variable-coefficient Burgers equations
Recommended article: Q4441377
Recommended article: Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation
Recommended article: Q4947518
description: scientific article; zbMATH DE number 1423304