Continuous symmetries of difference equations

D Levi, P Winternitz - Journal of Physics A: Mathematical and …, 2005 - iopscience.iop.org
Lie group theory was originally created more than 100 years ago as a tool for solving
ordinary and partial differential equations. In this article we review the results of a much …

[图书][B] Handbook of nonlinear partial differential equations: exact solutions, methods, and problems

AD Polyanin, VF Zaitsev - 2003 - taylorfrancis.com
The Handbook of Nonlinear Partial Differential Equations is the latest in a series of
acclaimed handbooks by these authors and presents exact solutions of more than 1600 …

[图书][B] Методы решения нелинейных уравнений математической физики и механики

А Полянин, В Зайцев, А Журов - 2022 - books.google.com
Описаны точные аналитические методы решения нелинейных уравнений
математической физики. Наряду с классическими методами представлены также …

Symmetry reductions and exact solutions of a class of nonlinear heat equations

PA Clarksonz, EL Mansfield - Physica D: Nonlinear Phenomena, 1994 - Elsevier
Classical and nonclassical symmetries of the nonlinear heat equation ut= u xx+ f (u) are
considered. The method of differential Gröbner bases is used both to find the conditions on f …

Similarity solution of boundary layer stagnation-point flow towards a heated porous stretching sheet saturated with a nanofluid with heat absorption/generation and …

MAA Hamad, M Ferdows - … in Nonlinear Science and Numerical Simulation, 2012 - Elsevier
In this paper, heat and mass transfer analysis for boundary layer stagnation-point flow over a
stretching sheet in a porous medium saturated by a nanofluid with internal heat …

Nonclassical symmetry reductions of the Boussinesq equation

PA Clarkson - Chaos, Solitons & Fractals, 1995 - Elsevier
In this paper we discuss symmetry reductions and exact solutions of the Boussinesq
equation using the classical Lie method of infinitesimals, the direct method due to Clarkson …

Scaling group transformation for MHD boundary layer slip flow of a nanofluid over a convectively heated stretching sheet with heat generation

MJ Uddin, WA Khan, AIM Ismail - Mathematical Problems in …, 2012 - Wiley Online Library
Steady viscous incompressible MHD laminar boundary layer slip flow of an electrically
conducting nanofluid over a convectively heated permeable moving linearly stretching sheet …

[PS][PS] Review of symbolic software for the computation of Lie symmetries of differential equations

W Hereman - Euromath Bull, 1994 - math.pmf.unizg.hr
A survey of symbolic programs for the determination of Lie symmetry groups of systems of
differential equations is presented. The purpose, methods and algorithms of symmetry …

Investigation of combined heat and mass transfer by Lie group analysis with variable diffusivity taking into account hydrodynamic slip and thermal convective …

MAA Hamad, MJ Uddin, AIM Ismail - International Journal of Heat and Mass …, 2012 - Elsevier
The present paper investigates heat and mass transfer over a moving porous plate with
hydrodynamic slip and thermal convective boundary conditions and concentration …

Classification of Lie point symmetries for quadratic Liénard type equation ẍ+f(x)ẋ2+g(x)=0

AK Tiwari, SN Pandey, M Senthilvelan… - Journal of …, 2013 - pubs.aip.org
Classification of Lie point symmetries for quadratic Liénard type equation |$\ddot{x}+f(x)\dot{x}^2+g(x)=0$|ẍ+f(x)ẋ2+g(x)=0
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