Title: Solitary wave solutions and their interactions for fully nonlinear water waves with surface tension in the generalized Serre equations,
Abstract: Some effects of surface tension on fully-nonlinear, long, surface water waves
are studied by numerical means. The differences between various solitary waves
and their interactions in subcritical and supercritical surface tension regimes
are presented. Analytical expressions for new peaked travelling wave solutions
are presented in the case of critical surface tension. The numerical
experiments were performed using a high-accurate finite element method based on
smooth cubic splines and the four-stage, classical, explicit Runge-Kutta method
of order four.