An Overview of the Generalized Gardner Equation: Symmetry Groups and Conservation Laws (Q5377680)

scientific article; zbMATH DE number 7059208

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English	An Overview of the Generalized Gardner Equation: Symmetry Groups and Conservation Laws	scientific article; zbMATH DE number 7059208

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instance of

scholarly article

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title

An Overview of the Generalized Gardner Equation: Symmetry Groups and Conservation Laws (English)

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published in

A Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems

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publication date

27 May 2019

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describes a project that uses

LIEPDE

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MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-319-78512-7_2

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cites work

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Symmetries and conservation laws of the generalized Krichever–Novikov equation

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Direct construction method for conservation laws of partial differential equations Part II: General treatment

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Conservation laws and exact solutions for nonlinear diffusion in anisotropic media

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Conservation laws for a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model

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Conservation Laws of a Family of Reaction-Diffusion-Convection Equations

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Conservation laws and exact solutions of a generalized Benjamin-Bona-Mahony-Burgers equation

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On the classical and nonclassical symmetries of a generalized Gardner equation

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On symmetries and conservation laws of a Gardner equation involving arbitrary functions

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Equivalence transformations and conservation laws for a generalized variable-coefficient Gardner equation

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Weak self-adjoint differential equations

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New exact solutions for the generalized variable-coefficient Gardner equation with forcing term

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Soliton wave solutions for the nonlinear transmission line using the kudryashov method and the \((G'/G)\)-expansion method

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A new conservation theorem

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Nonlinear self-adjointness and conservation laws

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Group analysis of KdV equation with time dependent coefficients

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Conservation laws of KdV equation with time dependent coefficients

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Simplest equation method to look for exact solutions of nonlinear differential equations

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Meromorphic solutions of nonlinear ordinary differential equations

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Painlevé analysis and exact solutions of the Korteweg-de Vries equation with a source

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Extended simplest equation method for nonlinear differential equations

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Symmetry classification of the Gardner equation with time-dependent coefficients arising in stratified fluids

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Q4273954

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Q3945260

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Effect of resonant absorption in viscous and dry vibrating contact: mathematical models and theory connected with slow dynamics and friction welding

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Nonlinear self-adjointness: a criterion for linearization of PDEs

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Nonlinear self-adjointness, conservation laws, exact solutions of a system of dispersive evolution equations

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Nonlinear self-adjointness of a class of third order nonlinear dispersive equations

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Symmetry reduction, exact solutions and conservation laws of a new fifth-order nonlinear integrable equation

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Conservation laws for a modified lubrication equation

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Q4284783

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Construction of non-travelling wave solutions for the generalized variable-coefficient Gardner equation

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Identifiers

zbMATH Open document ID

1417.35164

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DOI

10.1007/978-3-319-78512-7_2

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:5377680