A quaternionic structure in the three-dimensional Euler and ideal magneto-hydrodynamics equations (Q1604164)
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scientific article; zbMATH DE number 1762938
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A quaternionic structure in the three-dimensional Euler and ideal magneto-hydrodynamics equations |
scientific article; zbMATH DE number 1762938 |
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A quaternionic structure in the three-dimensional Euler and ideal magneto-hydrodynamics equations (English)
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3 July 2002
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The three-dimensional Euler equations are transformed into a quaternionic Riccati equation which can be linearized to a zero-eigenvalue Schrödinger equation. It is shown that the same approach also works in case of the equations of ideal incompressible MHD.
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Euler equation
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quaternions
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Riccati equation
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ideal MHD
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Schrödinger equation
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