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Exact nonlinear wave solutions of the incompressible magnetohydrodynamic equations in a sheared magnetic field

Published online by Cambridge University Press:  13 March 2009

Hiromitsu Hamabata
Affiliation:
Department of Physics, Faculty of Science., Osaka City University, Osaka 558, Japan

Abstract

Exact wave solutions of the nonlinear jnagnetohydrodynamic equations for a highly conducting incompressible fluid are obtained for the cases where the physical quantities are independent of one Cartesian co-ordina.te and for where they vary three-dimensionally but both the streamlines and magnetic field lines lie in parallel planes. It is shown that there is a class of exact wave solutions with large amplitude propagating in a straight but non-uniform magnetic field with constant or non-uniform velocity.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1990

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References

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