A computational method for the regularized long wave (RLW) equation

A numerical solution of the regularized long wave (RLW) equation, based on collocation method using cubic B-spline finite elements is used to simulate the migration and interaction of solitary waves. Interaction of solitary waves with different amplitudes are shown. The three invariants of the motion are evaluated to determine the conservation properties of the system. The temporal evaluation of a Maxwellian initial pulse is then studied, and then we prove that the number of solitons which are generated from Maxwellian initial condition are determined.