Abstract
This paper studied dynamical features of dispersive shallow water waves that are modeled by Rosenau-KdV-RLW equation. This model is generalized to power law nonlinearity. Soliton perturbation theory is applied to obtain the adiabatic dynamics of soliton parameters. Ansatz method also obtains exact 1-soliton solution to perturbed Rosenau-KdV-RLW equation. Finally, semi-inverse variational principle gives an analytical 1-soliton solution to this model.