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Dynamics and stability of gravity-capillary solitary waves

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Academic year: 2021

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Figure

FIGURE 1-1. Linear phase speed relation for gravity-capillary waves in deep water
FIGURE 1-2. Free-surface profiles of small-amplitude depression (left) and elevation (right) gravity- gravity-capillary solitary waves with normalized speeds c(p/gT)" = 1.4045
FIGURE 2-1. Numerical solution of the fifth-order KdV equation. The initial condition corresponds to an elevation solitary wave with E = 0.1
FIGURE 2-2. Same as Figure 2-1 but here c = 0.3 and the instability is depression wave emerges but with more dispersion than before.
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