2.2 : What are the boundary conditions for a water wave problem?
Solution: The main assumptions made in water wave mechanics are: (1) the fluid is incompressible, (2) the fluid is inviscid, (3) the flow is irrotational, and (4) the wave height is small compared to the wavelength. This is just a sample of the types
Solution: The boundary conditions are: (1) the kinematic free surface boundary condition, (2) the dynamic free surface boundary condition, and (3) the bottom boundary condition. (2) the fluid is inviscid
4.2 : A wave is diffracted around a semi-infinite breakwater. What is the diffraction coefficient? (3) the flow is irrotational
Solution: Using Snell's law, we can calculate the refraction coefficient: $K_r = \frac{\cos{\theta_1}}{\cos{\theta_2}} = \frac{\cos{30}}{\cos{45}} = 0.816$.
This is just a sample of the types of problems and solutions that could be included in a solution manual for "Water Wave Mechanics For Engineers And Scientists". The actual content would depend on the specific needs and goals of the manual.