Boussinesq's equations for (2+1)-dimensional gravity-surface waves in an
ideal fluid model
Boussinesq's equations for (2+1)-dimensional gravity-surface waves in an
ideal fluid model
We study the problem of gravity surface waves for the ideal fluid model in (2+1)-dimensional case. We apply a systematic procedure for deriving the Boussinesq equations for a prescribed relationship between the orders of four expansion parameters, the amplitude parameter $\alpha$, the long-wavelength parameter $\beta$, the transverse wavelength parameter $\gamma$, …