Abstract
The steady state of nonlinear, small-amplitude, one-dimensional quasiresonant Alfvén oscillations in a homogeneous dissipative hydromagnetic cavity forced by the shear motion of its boundaries is studied. It is shown that, even in the case of strong nonlinearity, these oscillations can be represented, to leading order, by a sum of two solutions in the form of oppositely propagating waves with permanent shapes. An infinite set of nonlinear algebraic equations for the Fourier coefficients of these solutions is derived. It is then reduced to a finite set of equations by trancation and solved analytically in the one-mode approximation and numerically in the general case. The comparison of the analytical and numerical results is carried out.
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Nocera, L., Ruderman, M. (1999). Nonlinear Quasiresonant Alfvén Oscillations in a One-Dimensional Magnetic Cavity. In: Passot, T., Sulem, PL. (eds) Nonlinear MHD Waves and Turbulence. Lecture Notes in Physics, vol 536. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47038-7_4
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DOI: https://doi.org/10.1007/3-540-47038-7_4
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