Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation (Q2031389)

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English	Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation	scientific article

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instance of

scholarly article

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title

Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation (English)

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ZAMP. Zeitschrift für angewandte Mathematik und Physik

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publication date

9 June 2021

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full work available at URL

https://arxiv.org/abs/2105.05584

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zbMATH Keywords

approximate Lie symmetries

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conditional Lie symmetries

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reaction-diffusion-convection equations

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hyperbolic equations

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describes a project that uses

ReLie

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REDUCE

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MaRDI profile type

MaRDI publication profile

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CRC Handbook of Lie Group Analysis of Differential Equations, Volume I

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Symmetry and integration methods for differential equations

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Methods for constructing exact solutions of partial differential equations. Mathematical and analytical techniques with applications to engineering

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Linearization procedure of nonlinear first order system of partial differential equations by means of canonical variables related to Lie groups of point transformations

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When nonautonomous equations are equivalent to autonomopus ones

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How to build up variable transformations allowing one to map nonlinear hyperbolic equations into autonomous or linear ones

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Nonlinear first order partial differential equations reducible to first order homogeneous and autonomous quasilinear ones

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A Personal Overview on the Reduction Methods for Partial Differential Equations

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New \(Q\)-conditional symmetries and exact solutions of some reaction-diffusion-convection equations arising in mathematical biology

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Conditional symmetries for systems of PDEs: new definitions and their application for reaction–diffusion systems

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Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system

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Conditional symmetries and exact solutions of nonlinear reaction-diffusion systems with non-constant diffusivities

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New conditional symmetries and exact solutions of reaction–diffusion systems with power diffusivities

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APPROXIMATE SYMMETRIES

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Approximate and renormgroup symmetries

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Approximate Symmetries of the Boussinesq Equation

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Approximate symmetries of creeping flow equations of a second grade fluid

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Integration of ordinary differential equation with a small parameter via approximate symmetries: reduction of approximate symmetry algebra to a canonical form

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Approximate symmetries and conservation laws of the geodesic equations for the Schwarzschild metric

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Comparison of approximate symmetry methods for differential equations

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Perturbed Lie Symmetry and Systems of Non-Linear Diffusion Equations

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Two approaches to the calculation of approximate symmetry exemplified using a system of advection-diffusion equations

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On approximate symmetry and approximate solutions of the nonlinear wave equation with a small parameter

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Approximate symmetries and solutions of the hyperbolic heat equation

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Approximate symmetries and approximate solutions for a multidimensional Landau-Ginzburg equation

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On the construction of approximate solutions for a multidimensional nonlinear heat equation

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Symmetry Properties of the Approximations of Multidimensional Generalized Van Der Pol Equations

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A consistent approach to approximate Lie symmetries of differential equations

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Approximate conditional symmetries for partial differential equations

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Approximate conditional symmetries and approximate solutions of the perturbed Fitzhugh–Nagumo equation

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Approximate Q-conditional symmetries of partial differential equations

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Mathematical biology. Vol. 2: Spatial models and biomedical applications.

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Conditional symmetries and exact solutions of one reaction-diffusion-convection equation

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On differential equations characterized by their Lie point symmetries

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Differential equations uniquely determined by algebras of point symmetries

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Ordinary differential equations described by their Lie symmetry algebra

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Lie remarkable partial differential equations characterized by Lie algebras of point symmetries

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Identifiers

zbMATH Open document ID

1467.35022

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DOI

10.1007/s00033-021-01554-2

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:2031389