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An asymptotic method for non-linear magnetosonic waves in an isothermal plasma with a finite conductivity

Published online by Cambridge University Press:  14 November 2011

Domenico Fusco
Affiliation:
Istituto di Matematica dell'Università di Messina, Italy

Synopsis

The paper is concerned with a Three-dimensional theory of non-linear magnetosonic waves in a turbulent plasma. A perturbation method is used that allows us to obtain a transport equation, like Burgers equation, but with a variable coefficient.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1979

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References

1Sakai, Jun-Ichi. Non-linear Magnetosonic Waves in a Plasma with a Finite Conductivity. Cosmic Electrodynamics 3 (1972), 260270.Google Scholar
2Boillat, G.. Ondes Asymptotiques non Linearies. Ann. Mat. Pura Appl. 61 (1976), 3144.Google Scholar
3Asano, N. and Ono, H.. Non-linear Dispersive or Dissipative Waves in Inhomogeneous Media. J. Phys. Soc. Japan 31 (1971), 18301836. N. Asano. Wave Propagations in Non-uniform Media, Progr. Theoret. Phys. Suppl. 55 (1974), 58–79.Google Scholar
4Shen, M. C. and Keller, J. B.. Ray Method for Non-linear Wave Propagation in a Rotating Fluid of Variable Depth. Phys. Fluids 16 (1973), 15651572.CrossRefGoogle Scholar
5Hopf, E.. The Partial Differential Equation ut + uux = μuxx. Comm. Pure Appl. Math. 3 (1950), 201230.Google Scholar
6Rizun, V. I. and Enge'Brekht, Iu. K.. Application of the Burgers' Equation with a Variable Coefficient to the Study of Non-planar Wave Transients. J. Appl. Math. Mech. 39 (1975), 524528.CrossRefGoogle Scholar
7Boillat, G.. La propagation des ondes (Paris: Gauthier-Villars, 1965).Google Scholar
8Engelbrecht, J.. Theory of Non-linear Wave Propagation with Application to the Interaction and Inverse Problems. Internat. J. Non-Linear Mech. 12 (1977), 189201.CrossRefGoogle Scholar