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Part of the book series: Mechanics of Fluids and Transport Processes ((MFTP,volume 8))

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Abstract

The linear wave theory is based on the small-amplitude approximation, wherein all nonlinear terms (i.e., terms quadratic or higher powers in the dependent variables and their derivatives are neglected). Consequently, it is possible to Fourier analyze any physical perturbation, and each harmonic can be treated independently. The propagation characteristics of the wave are usually expressed in the form of a dispersion relation ω = ω(k), which relates the frequency and wavenumber of the wave in terms of plasma parameters. The waveform is purely sinusoidal (see Appendix).

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© 1988 Kluwer Academic Publishers, Dordrecht

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Shivamoggi, B.K. (1988). Introduction. In: Introduction to Nonlinear Fluid-Plasma Waves. Mechanics of Fluids and Transport Processes, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2772-8_1

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  • DOI: https://doi.org/10.1007/978-94-009-2772-8_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7746-0

  • Online ISBN: 978-94-009-2772-8

  • eBook Packages: Springer Book Archive

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