Interaction of solitons and the effect of radiation for the generalized KdV equation

We consider the generalized KdV equation with nonlinearity u 4 and small dispersion ε . Our main result consists in the conclusion that, in the leading term with respect to ε , the solitary waves interact in this model like KdV solitons but both small corrections of the soliton parameters and small radiation term appear as a result of the waves collision. Our main tool is the numerical simulation.