Solitary wave solutions for the regularized long-wave equation

The regularized long-wave equation has been solved numerically using the collocation method based on the Adams-Moulton method for the time integration and quintic B-spline functions for the space integration. The method is tested on the problems of propagation of a solitary wave and interaction of two solitary waves. The three conserved quantities of motion are calculated to determine the conservation properties of the proposed algorithm. The L _?? error norm is used to measure the difference between exact and numerical solutions. A comparison with the previously published numerical methods is performed.