Nonlinear surface waves in self-gravitating fluids

Malik, S. K.; Singh, M.

doi:10.1090/qam/580881

Authors: S. K. Malik and M. Singh
Journal: Quart. Appl. Math. 38 (1980), 235-240
MSC: Primary 76B15; Secondary 35B40, 76E20
DOI: https://doi.org/10.1090/qam/580881
MathSciNet review: 580881
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Abstract: The weakly nonlinear disturbances in a self-gravitating, incompressible, inviscid fluid slab are studied. When the wave number is equal to the critical wave number, the amplitude modulation results in nonlinear Schrodinger equation. The finite-amplitude standing wave is stable against modulation. The nonlinear cutoff wave number is also obtained.

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