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- W4232059891 abstract "Earlier investigations of internal solitary waves in stable, stratified shear flows are generalized on the hypothesis that cubic and quadratic nonlinearity may be of comparable significance—or, equivalent, that β = O(α2), where α = a/h ≪ 1 and β = (h/l)2 ≪ 1 for a wave of amplitude a (which may be positive or negative) and length l in a fluid of depth h. An infinite, discrete set of internal solitary waves is possible for prescribed density and horizontal velocity in the primary flow, and to each of these modes there corresponds a relation β = β(α),0 |β| |βn|. Cubic nonlinearity is significant vis-à-vis quadratic nonlinearity if and only if βn = O(β), and h|βn| then appears as a maximum achievable amplitude. The limit βn → 0 (which corresponds to a critical combination of the basic flow parameters) implies a → 0 and l → ∞ if the mass carried by the wave is fixed." @default.
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- W4232059891 date "1979-01-01" @default.
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- W4232059891 title "On internal solitary waves" @default.
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- W4232059891 doi "https://doi.org/10.3402/tellusa.v31i5.10460" @default.
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