A two-dimensional magnetohydrodynamic system: geometric decomposition and canonical reduction

A geometric decomposition previously adopted in areas of nonlinear continuum mechanics and soliton theory is applied to a two-dimensional time-independent magnetohydrodynamic system to obtain reduction to a canonical third order nonlinear equation subject to a constraint. Novel classes of exact solu...

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Bibliographic Details
Published inMeccanica (Milan) Vol. 58; no. 6; pp. 1021 - 1029
Main Authors Rogers, Colin, Schief, Wolfgang K.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.06.2023
Springer Nature B.V
Subjects
Automotive Engineering
Civil Engineering
Classical Mechanics
Continuum mechanics
Decomposition
Engineering
Exact solutions
Fiber reinforced materials
Kinematics
Magnetohydrodynamics
Mechanical Engineering
Nonlinear equations
Reduction
Solitary waves
Viscous fluids
Fibre-reinforced fluids
Magnetohydrodynamics
Geometric decomposition
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Summary:A geometric decomposition previously adopted in areas of nonlinear continuum mechanics and soliton theory is applied to a two-dimensional time-independent magnetohydrodynamic system to obtain reduction to a canonical third order nonlinear equation subject to a constraint. Novel classes of exact solutions to the magnetohydrodynamic system are thereby constructed. Connection is made with kinematic conditions which attend certain steady two-dimensional motions of fibre-reinforced viscous fluids.
Bibliography:ObjectType-Article-1
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ISSN:0025-6455
1572-9648
DOI:10.1007/s11012-022-01579-5