On the Dynamics of Two-Dimensional Capillary-Gravity Solitary Waves with a Linear Shear Current

Figure 2

(a) Amplitude versus speed bifurcation. There are two branches for each 𝜔and bifurcate from the minimum of the phase speed. From left to right: 𝜔=−0.2,−0.05,0.05,0.2. (b) Energy versus speed curves for different 𝜔. The upper branches are for elevation solitary wave, and the lower branches are for depression ones. From left to right: 𝜔=−0.2,−0.05,0.05,0.2, respectively.

(a)

(b)