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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
Hiromitsu Hamabata
Affiliation:
Department of Physics, Faculty of Science., Osaka City University, Osaka 558, Japan
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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
Information
Journal of Plasma Physics , Volume 44 , Issue 1 , August 1990 , pp. 25 - 32
Copyright
Copyright © Cambridge University Press 1990

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References

REFERENCES

Hamabata, H. & Namikawa, T. 1989 J. Plasma Phys. 42, 247.CrossRefGoogle Scholar
Namikawa, T. & Hamabata, H. 1987 Phys. Lett. 126A, 195.CrossRefGoogle Scholar
Namikawa, T. & Hamabata, H. 1988 Phys. Fluids, 31, 887.CrossRefGoogle Scholar
Parker, E. N. 1984 Geophys. Astrophys. Fluid Dyn. 29, 1.CrossRefGoogle Scholar
Walén, C. 1944 a Ark. Math. Astron. Fys. 30A, 1.Google Scholar
Walén, C. 1944 b Ark. Math. Astron. Fys. 31B, 1.Google Scholar