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

Figure 4

Typical profiles of two branches capillary-gravity solitary waves. Depression solitary wave (a) with 𝑦(0)=−0.2210, 𝑐=1.5041, and 𝜔=0.2; elevation solitary wave (b) with 𝑦(0)=0.1692, 𝑐=1.5005, and 𝜔=0.2. Extreme configuration of the depression solitary wave (c) with 𝑦(0)=−1.7793, 𝑐=0.5, and 𝜔=−0.2; large amplitude elevation solitary wave (d) with 𝑦(0)=0.05, 𝑐=1.2093, and 𝜔=−0.2.

(a)

(b)

(c)

(d)