Evolution of solitary-wave solution of the perturbed regularized long-wave equation

The evolution of the solitary-wave solution of the regularized long-wave (RLW) equation is considered. The perturbation is of the type that adds energy to the solitary wave. The perturbed solitary wave does not conserve “mass”. So, a tail is introduced of which the near-tail portion remedies this “mass” defect, while the far-tail portion exhibits a plateau structure.