Stationary-propagating Solutions of the BoussinesqEquatio...
Choudhury, Jayanta
The Boussinesq equation for the surface waves reduces
to a 4th-order elliptic equation for steady moving
waves. This is investigated for bifurcation in 2D by
devising a finite-difference scheme and an iterative
algorithm. We prove that the truncation error of the
scheme is second-order in spac. Next, we develop a
perturbation series with respect to the small
parameter (square of the phase speed of the wave).
Within 2nd order of the small param...