N-Soliton Solutions of Model Equations for Shallow Water Waves

N -soliton solutions of two model equations for shallow water waves are obtained. Both equations have the same linear dispersion relations and similar nonlinearities. One of them belongs to the class of equations solvable by the inverse scattering method and the other to the class of equations solvable by the dependent variable transformation method. The difference in forms between two solutions shows the difference in characteristics between two methods.