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VOLUME 55 (1992) | ISSUE 9 | PAGE 505
Higher-order Fourier approximations and exact algebraic solutions in the theory of the hydrodynamic Rayleigh-Taylor instability
The asymptotic behavior of the hydrodynamic Rayleigh-Taylor instability is analyzed. A solution is constructed through a Fourier-series expansion. A system of equations for the amplitudes of the harmonics up to the sixth, inclusively, is constructed. This system of algebraic equations, with a high-order nonlinearity, can be solved exactly.