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Invariant sets and solutions to the generalized thin film equation (Q2454654)

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Language	Label	Description	Also known as
English	Invariant sets and solutions to the generalized thin film equation	scientific article

Statements

scholarly article

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Invariant sets and solutions to the generalized thin film equation (English)

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Science in China. Series A

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publication date

16 October 2007

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zbMATH Keywords

invariant solution

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rotation group

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scaling group

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s11425-007-0040-5

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Groups of scalings and invariant sets for higher-order nonlinear evolution equations.

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Ordered invariant sets for KdV-type nonlinear evolution equations

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Extended rotation and scaling groups for nonlinear evolution equations

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Symmetries and solutions to the thin film equations

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Two generalizations of the thin film equation

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Explicit solutions of a two-dimensional fourth-order nonlinear diffusion equation

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Exact polynomial solutions to some nonlinear diffusion equations

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

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Antireduction and exact solutions of nonlinear heat equations

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Nonlinear interaction of traveling waves of nonintegrable equations

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Conditional Lie-Backlund symmetry and reduction of evolution equations

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Symmetries, ansätze and exact solutions of nonlinear second-order evolution equations with convection terms

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On nonlinear partial differential equations with an infinite-dimensional conditional symmetry

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Group Classification and Generalized Conditional Symmetry Reduction of the Nonlinear Diffusion–Convection Equation with a Nonlinear Source

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Exact solutions to nonlinear diffusion equations obtained by a generalized conditional symmetry method

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Classification and reduction of some systems of quasilinear partial differential equations

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Separation of variables and exact solutions to quasilinear diffusion equations with nonlinear source

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New variable separation approach: application to nonlinear diffusion equations

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Reductions and exact solutions of some nonlinear partial differential equations under four types of generalized conditional symmetries

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On nonlinear diffusion equations with \(x\)-dependent convection and absorption

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The method of generalised conditional symmetries and its various implementations

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Initial-value problems for evolutionary partial differential equations and higher-order conditional symmetries

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Higher conditional symmetry and reduction of initial value problems

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Group foliation and non-invariant solutions of the heavenly equation

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Identifiers

zbMATH Open document ID

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10.1007/s11425-007-0040-5

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2454654

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