Complete group classification of a class of nonlinear wave equations (Q2872470)

scientific article; zbMATH DE number 6245537

Language	Label	Description	Also known as
English	Complete group classification of a class of nonlinear wave equations	scientific article; zbMATH DE number 6245537

Statements

instance of

scholarly article

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title

Complete group classification of a class of nonlinear wave equations (English)

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author

Alexander Bihlo

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Elsa Dos Santos Cardoso-Bihlo

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Roman O. Popovych

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published in

Journal of Mathematical Physics

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publication date

14 January 2014

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full work available at URL

https://arxiv.org/abs/1106.4801

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zbMATH Keywords

one-dimensional Lie symmetry extensions

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admissible point transformations

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MaRDI profile type

Publication

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cites work

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The structure of Lie algebras and the classification problem for partial differential equations

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Symbolic computation and differential equations: Lie symmetries

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Enhanced preliminary group classification of a class of generalized diffusion equations

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Symmetry classification and optimal systems of a non-linear wave equation

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On a countable-dimensional subalgebra of the equivalence algebra for equations v tt=f(x,v x)v xx+g(x,v x)

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LIE, a PC program for Lie analysis of differential equations

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Group analysis and exact solutions of a class of variable coefficient nonlinear telegraph equations

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Contact transformation group classification of nonlinear wave equations

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Preliminary group classification of equations v t t=f (x,v x)v x x+g(x,v x)

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Differential invariants of nonlinear equations \(v_{tt}=f(x,v_{x})v_{xx}+g(x,v_{x})\).

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Group analysis of variable coefficient diffusion-convection equations. I: Enhanced group classification

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Acceleration wave propagation in hyperelastic rods of variable cross- section

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On form-preserving point transformations of partial differential equations

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Symmetries and form-preserving transformations of one-dimensional wave equations with dissipation

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Group classification of nonlinear evolution equations. I: Invariance under semisimple local transformation groups

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Group classification and exact solutions of nonlinear wave equations

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Group classification of quasilinear elliptic-type equations. I. Invariance with respect to Lie algebras with nontrivial Levi decomposition

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Q4876467

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Group classification of the equations of two-dimensional motions of a gas

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Q4942663

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Some symmetries of the nonlinear heat and wave equations

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Q3945260

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Symmetry preserving parameterization schemes

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New results on group classification of nonlinear diffusion–convection equations

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Group classification of (1+1)-dimensional Schrödinger equations with potentials and power nonlinearities

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Admissible transformations and normalized classes of nonlinear Schrödinger equations

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Conservation laws and potential symmetries of linear parabolic equations

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More common errors in finding exact solutions of nonlinear differential equations. I

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Analysis and development of subgrid turbulence models preserving the symmetry properties of the Navier-Stokes equations

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Preliminary group classification for the nonlinear wave equation \(u_{tt}=f(x,u)u_{xx}+g(x,u)\)

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Enhanced group analysis and conservation laws of variable coefficient reaction-diffusion equations with power nonlinearities

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Enhanced group analysis and exact solutions of variable coefficient semilinear diffusion equations with a power source

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Group classification of heat conductivity equations with a nonlinear source

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Identifiers

zbMATH Open document ID

1282.35020

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DOI

10.1063/1.4765296

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2872470